JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank

done Self Evaluation Test - Motion in a Strainght Line Total Questions - 100

• question_answer1)
  A body starts from rest and travels 's' m in 2nd second, then acceleration is
  A)
  \[(2s)\text{ }m/{{s}^{2}}\]                    done clear
  B)
  \[(3s)\text{ }m/{{s}^{2}}\] done clear
  C)
  \[\left( \frac{2}{3}s \right)m/{{s}^{2}}\] done clear
  D)
  \[\left( \frac{3}{2}s \right)m/{{s}^{2}}\] done clear
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• question_answer2)
  The velocity-time graph of a body is shown in fig. The ratio of average acceleration during the intervals OA and AB is
  A)
  1                      done clear
  B)
  \[\frac{1}{2}\] done clear
  C)
  \[\frac{1}{3}\]                           done clear
  D)
  3 done clear
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• question_answer3)
  A bullet fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of
  A)
  \[\frac{22}{3}\,cm\]       done clear
  B)
  \[\frac{40}{3}\,cm\] done clear
  C)
  \[\frac{20}{3}\,cm\]       done clear
  D)
  \[\frac{22}{5}\,cm\] done clear
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• question_answer4)
  A body covers 26, 28, 30, 32 meters in 10th, 11th, 12th and 13th seconds respectively The body
  A)
  from rest and moves with uniform velocity done clear
  B)
  from rest and moves with uniform acceleration done clear
  C)
  with an initial velocity and moves with uniform acceleration done clear
  D)
  with an initial velocity and moves with uniform velocity done clear
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• question_answer5)
  The displacement x of a particle at the instant when its velocity is v is given by \[v\text{ }=\text{ }\sqrt{3x+16}.\] Its acceleration and initial velocity are
  A)
  1.5 units, 4 units  done clear
  B)
  3 units, 4 units done clear
  C)
  16 units, 1.6 units done clear
  D)
  16 units, 3 units done clear
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• question_answer6)

  The distance time graph of a particle at time makes angles \[45{}^\circ \] with the time axis. After one second, it makes angle \[60{}^\circ \] with the time axis.

  What is the acceleration of the particle?

  A)
  \[\sqrt{3}-1\]      done clear
  B)
  \[\sqrt{3}+1\] done clear
  C)
  \[\sqrt{3}\]         done clear
  D)
  1 done clear
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• question_answer7)
  A particle experiences constant acceleration for 20 seconds after starting from rest. If it travels a distance \[{{s}_{1}}\] in the first 10 seconds and distance \[{{s}_{2}}\] in the next 10 seconds, then
  A)
  \[{{s}_{2}}={{s}_{1}}\] done clear
  B)
  \[{{s}_{2}}=2{{s}_{1}}\] done clear
  C)
  \[{{s}_{2}}=3{{s}_{1}}\]       done clear
  D)
  \[{{s}_{2}}=4{{s}_{1}}\] done clear
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• question_answer8)
  In 1.0 s, a particle goes from point A to point B, moving in a semicircle of radius 1.0 m (see Figure). The magnitude of the average velocity is
  A)
  \[3.14\,\,m/s\]     done clear
  B)
  \[2.0\,\,m/s\] done clear
  C)
  \[1.0\text{ }m/s\]            done clear
  D)
  Zero done clear
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• question_answer9)
  If distance covered by a particle is zero, what can you say about its displacement?
  A)
  It may or may not be zero done clear
  B)
  It cannot be zero done clear
  C)
  It is negative     done clear
  D)
  It must be zero done clear
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• question_answer10)
  A man of height h walks in a straight path towards a lamp post of height H with velocity v. Then  velocity of the edge of the shadow on the ground will be
  A)
  \[\frac{hv}{H+h}\]    done clear
  B)
  \[\frac{Hv}{H-h}\] done clear
  C)
  \[\frac{H+h}{Hv}\]        done clear
  D)
  \[\frac{\left( H-h \right)}{Hh}\] done clear
  View Solution play_arrow

• question_answer11)
  The displacement-time graphs of two particles A and B are straight lines making angles of \[30{}^\circ \] and \[60{}^\circ \] respectively with the time axis. If the velocity of A is \[{{v}_{A}}\] and that of B is \[{{v}_{B}}\], the value of \[{{v}_{A}}/{{v}_{B}}\] is
  A)
  \[\frac{1}{2}\]               done clear
  B)
  \[\frac{1}{\sqrt{3}}\] done clear
  C)
  \[\sqrt{3}\]                     done clear
  D)
  \[\frac{1}{3}\] done clear
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• question_answer12)
  An athlete completes one round of a circular track of radius R in 40 sec. What will be his displacement at the end of 3 min. 20 sec?
  A)
  \[Zero\]  done clear
  B)
  \[2R\] done clear
  C)
  \[2\,\pi \,R\]        done clear
  D)
  \[7\,\pi \,R\] done clear
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• question_answer13)
  A body moves in straight line with velocity \[{{v}_{1}}\], for 1/3rd time and for remaining time with \[{{v}_{2}}\] find average velocity.
  A)
  \[\frac{{{v}_{1}}}{3}+\frac{2{{v}_{2}}}{3}\]              done clear
  B)
   \[\frac{{{v}_{1}}}{3}+\frac{{{v}_{2}}}{3}\] done clear
  C)
   \[\frac{2{{v}_{1}}}{3}+\frac{{{v}_{2}}}{3}\] done clear
  D)
   \[{{v}_{1}}+\frac{2{{v}_{2}}}{3}\] done clear
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• question_answer14)
  A particle moves in straight line with velocity \[6\text{ }m/s\]and \[\text{3 }m/s\] for time intervals which are in ratio 1:2. Find average velocity.
  A)
  \[2\,\,m/s\]         done clear
  B)
  \[3\,\,m/s\] done clear
  C)
  \[4\,\,m/s\]         done clear
  D)
  \[5\,\,m/s\] done clear
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• question_answer15)
  A particle moves from (2, 3) m to (4, 1) m. The magnitude of displacement is
  A)
  \[2\text{ }m\]     done clear
  B)
  \[2\sqrt{3}\,\,m\] done clear
  C)
  \[2\sqrt{2}\,\,m\]            done clear
  D)
  \[3\sqrt{2}\,\,m\] done clear
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• question_answer16)
  Which of the following is not possible for a body in uniform motion?
  A)
  done clear
  B)
    done clear
  C)
  Both [a] & [b] done clear
  D)
  None of these done clear
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• question_answer17)
  A man leaves his house for a cycle ride. He comes back to his house after half-an-hour after covering a distance of one km. What is his average velocity for the ride?
  A)
  Zero     done clear
  B)
  \[2\,km\text{ }{{h}^{-1}}\] done clear
  C)
  \[10\,km\text{ }{{s}^{-1}}\]      done clear
  D)
  \[\frac{1}{2}\,km\text{ }{{s}^{-1}}\] done clear
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• question_answer18)
  A point traversed half of the distance with a velocity \[{{v}_{0}}\]. The half of remaining part of the distance was covered with velocity \[{{v}_{1}}\] and second half of remaining part by \[{{v}_{2}}\] velocity. The mean velocity of the point, averaged over the whole time of motion is
  A)
  \[\frac{{{\text{v}}_{\text{0}}}\text{+}{{\text{v}}_{1}}+{{\text{v}}_{2}}}{3}\]            done clear
  B)
  \[\frac{\text{2}{{\text{v}}_{\text{0}}}\text{+}{{\text{v}}_{1}}+{{\text{v}}_{2}}}{3}\] done clear
  C)
  \[\frac{{{\text{v}}_{\text{0}}}\text{+.2}{{\text{v}}_{1}}+2{{\text{v}}_{2}}}{3}\] done clear
  D)
  \[\frac{{{\text{v}}_{\text{0}}}\text{+2(}{{\text{v}}_{1}}+{{\text{v}}_{2}})}{\text{(2}{{\text{v}}_{\text{0}}}\text{+}{{\text{v}}_{1}}+{{\text{v}}_{2}})}\] done clear
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• question_answer19)
  If a car covers \[2/5th\] of the total distance with \[{{v}_{1}}\] speed and \[3/5th\] distance with \[{{v}_{2}}\] then average speed is
  A)
  \[\frac{1}{2}\sqrt{{{\text{v}}_{1}}{{\text{v}}_{2}}}\]   done clear
  B)
  \[\frac{{{\text{v}}_{1}}+{{\text{v}}_{2}}}{2}\] done clear
  C)
  \[\frac{2{{\text{v}}_{1}}{{\text{v}}_{2}}}{{{\text{v}}_{1}}+{{\text{v}}_{2}}}\]        done clear
  D)
  \[\frac{\text{5}{{\text{v}}_{1}}{{\text{v}}_{2}}}{\text{3}{{\text{v}}_{1}}+2{{\text{v}}_{2}}}\] done clear
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• question_answer20)
  A person moves 30 m north and then 20 m towards east and finally \[30\sqrt{2}\] m south-west direction. The displacement of the person from the origin
  A)
  10 m along north done clear
  B)
  10 m along south done clear
  C)
  10 m along west  done clear
  D)
  Zero done clear
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• question_answer21)
  A bus travelling the first one third distance at a speed of 10 km/h, the next one third at 20 km/h and the last one-third at 60 km/h. The average speed of the bus is
  A)
  9 km/h done clear
  B)
  16 km/h done clear
  C)
  18 km/h         done clear
  D)
  48 km/h done clear
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• question_answer22)
  A bird flies with a speed of 10 km/h and a car moves with uniform speed of 8 km/h. Both start from B towards A (BA = 40 km) at the same instant. The bird having reached A, flies back immediately to meet the approaching car. As soon as it reaches the car, it flies back to A. The bird repeats this till both the car and the bird reach A simultaneously. The total distance flown by the bird is
  A)
  80 km   done clear
  B)
  40 km done clear
  C)
  50 km   done clear
  D)
  30 km done clear
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• question_answer23)
  A car moves with a speed of 60 km/hr from point A to point B and then with the speed of 40 km/hr from point B to point C. Further it moves to a point D with a speed equal to its average speed between A and C. Points A, B, C and D are collinear and equidistant. The average speed of the car between A and D is
  A)
  \[30\text{ }km/hr\]          done clear
  B)
  \[50\text{ }km/hr\] done clear
  C)
  \[\text{48 }km/hr\]          done clear
  D)
  \[\text{60 }km/hr\] done clear
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• question_answer24)
  Three elephants A, B and C are moving along a straight line with constant speed in same direction as shown in figure. Speed of A is \[5\text{ }m/s\] and speed of C is 10 m/s. Initially separation between A and B is 'd' and between B and C is also. When 'B' catches 'C' separation between A and C becomes 3d. Then the speed of B will be
  A)
  \[7.5\text{ }m/s\] done clear
  B)
  \[15\text{ }m/s\] done clear
  C)
  \[\text{20 }m/s\]             done clear
  D)
  \[\text{5 }m/s\] done clear
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• question_answer25)
  If a body travels with constant acceleration, which of the following quantities remains constant?
  A)
  Displacement   done clear
  B)
  Velocity done clear
  C)
  Time                 done clear
  D)
  None of these done clear
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• question_answer26)
  A bus starts moving with acceleration \[2\text{ }m/{{s}^{2}}\]. A cyclist 96 m behind the bus starts simultaneously towards the bus at 20 m/s. After what time will he be able to overtake the bus?
  A)
  4 sec     done clear
  B)
  8 sec done clear
  C)
  18 sec   done clear
  D)
  16 sec done clear
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• question_answer27)
  The velocity time graph of the motion of the body is as shown below The total distance travelled by the body during the motion is equal to __.
  A)
  \[\frac{\text{1}}{\text{2}}\left( \text{AD+BE} \right)\text{ }\!\!\times\!\!\text{ OC}\] done clear
  B)
  \[\frac{\text{1}}{\text{2}}\left( \text{OA+BC} \right)\text{ }\!\!\times\!\!\text{ OC}\] done clear
  C)
  \[\frac{\text{1}}{\text{2}}\left( \text{OC+AB} \right)\text{ }\!\!\times\!\!\text{ AD}\] done clear
  D)
  \[\frac{\text{1}}{\text{2}}\left( \text{OA+AB} \right)\text{ }\!\!\times\!\!\text{ BC}\] done clear
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• question_answer28)
  Stopping distance of a moving vehicle is directly proportional to
  A)
  square of the initial velocity done clear
  B)
  square of the initial acceleration done clear
  C)
  the initial velocity done clear
  D)
  the initial acceleration done clear
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• question_answer29)
  Which of the following graphs gives the equation  \[\text{x =  }{{\text{v}}_{0}}\text{t+}\frac{1}{2}\text{ a}{{\text{t}}^{2}}\]
  A)
  done clear
  B)
  done clear
  C)
  done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer30)
  The displacement of a particle is represented by the following equation: \[S=3{{t}^{3}}+7{{t}^{2}}+5t+8\] where S is in meter and t in second. The acceleration of the particle at t = 15 is
  A)
  \[14\,\,m/{{s}^{2}}\] done clear
  B)
  \[18\,\,m/{{s}^{2}}\] done clear
  C)
  \[32\,\,m/{{s}^{2}}\]           done clear
  D)
  Zero done clear
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• question_answer31)
  If a train travelling at \[20\text{ }m/s\] is to be brought to rest in a distance of 200 m, then its retardation should be
  A)
  \[1\text{ }m/{{s}^{2}}\] done clear
  B)
  \[2\text{ }m/{{s}^{2}}\] done clear
  C)
  \[10\text{ }m/{{s}^{2}}\] done clear
  D)
  \[20\text{ }m/{{s}^{2}}\] done clear
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• question_answer32)
  The distance travelled by a particle starting from rest and moving with an acceleration \[\frac{4}{3}\text{m}{{\text{s}}^{-2}}\], in the third second is:
  A)
  6 m       done clear
  B)
  4 m   done clear
  C)
  \[\frac{10}{3}\,m\]                     done clear
  D)
  \[\frac{19}{3}\,m\] done clear
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• question_answer33)
  If a car at rest accelerates uniformly to a speed of 144 km/h in 20 s, it covers a distance of
  A)
  2880 m done clear
  B)
  1440 m done clear
  C)
  400 m   done clear
  D)
  20 m done clear
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• question_answer34)
  The displacement x of a particle along a straight line at time t is given by: \[\text{x = }{{\text{a}}_{\text{0}}}\text{+}\frac{{{\text{a}}_{\text{1}}}\text{t}}{\text{2}}\text{+}\frac{{{\text{a}}_{\text{2}}}}{\text{3}}{{\text{t}}^{\text{2}}}\]. The acceleration of the particle is
  A)
  \[\frac{{{a}_{2}}}{3}\]                         done clear
  B)
  \[\frac{2{{a}_{2}}}{3}\] done clear
  C)
  \[\frac{{{a}_{1}}}{2}\]             done clear
  D)
  \[{{a}_{0}}+\frac{{{a}_{2}}}{3}\] done clear
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• question_answer35)
  The dependence of velocity of a body with time is given by the equation \[v=20+0.\text{ }1\text{ }{{t}^{2}}\]. The body is in
  A)
  uniform retardation done clear
  B)
  uniform acceleration done clear
  C)
  non-uniform acceleration done clear
  D)
  zero acceleration. done clear
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• question_answer36)
  A car accelerates from rest at a constant rate \[\alpha \] for some time, after which it decelerates at a constant rate \[\beta \] and comes to rest. If the total time elapsed is t, then the maximum velocity acquired by the car is
  A)
  \[\left( \frac{{{\alpha }^{2}}+{{\beta }^{2}}}{\alpha \beta } \right)\text{t}\]      done clear
  B)
  \[\left( \frac{{{\alpha }^{2}}-{{\beta }^{2}}}{\alpha \beta } \right)\] done clear
  C)
  \[\frac{\left( {{\alpha }^{{}}}+{{\beta }^{{}}} \right)\text{t}}{\alpha \beta }\]  done clear
  D)
  \[\frac{\alpha \beta \text{t}}{{{\alpha }^{{}}}+{{\beta }^{{}}}}\] done clear
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• question_answer37)
  The deceleration experienced by a moving motorboat after its engine is cut off, is given by \[\frac{\text{dv}}{\text{dt}}\text{ = -K}{{\text{V}}^{3}}\]  where K is constant. If \[{{V}_{0}}\] is the magnitude of the velocity at cut-off, the magnitude of the velocity at a time t after the cut-off is
  A)
  \[\frac{{{V}_{0}}}{\sqrt{\left( 2V_{0}^{2}Kt+1 \right)}}\] done clear
  B)
  \[{{V}_{0}}{{e}^{-Kt}}\] done clear
  C)
  \[{{V}_{0}}/2\]  done clear
  D)
  \[{{V}_{0}}\] done clear
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• question_answer38)
  The displacement of a particle as a function of time is shown in figure. It indicates that
  A)
  the velocity of the particle is constant throughout done clear
  B)
  the acceleration of the particle is constant throughout done clear
  C)
  the particle starts with a constant velocity and is accelerated done clear
  D)
  the motion is retarded and finally the particle stops done clear
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• question_answer39)
  A particle moves along a straight line OX. At a time t (in second) the distance x (in metre) of the particle from O is given by \[x=40+12t-{{t}^{3}}\]. How long would the particle travel before coming to rest?
  A)
  24 m     done clear
  B)
  40 m done clear
  C)
  56 m done clear
  D)
  16 m done clear
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• question_answer40)
  A particle moves a distance x in time t according to equation \[x={{\left( t+5 \right)}^{-1}}\]. The acceleration of particle is proportional to
  A)
  \[{{\left( velocity \right)}^{3/2}}\]           done clear
  B)
  \[{{\left( distance \right)}^{2}}\] done clear
  C)
  \[{{\left( distance \right)}^{-2}}\]             done clear
  D)
  \[{{\left( velocity \right)}^{2/3}}\] done clear
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• question_answer41)
  A particle is moving eastwards with a velocity of \[5\text{ }m{{s}^{-1}}\]. In 10 seconds the velocity changes to \[5\text{ }m{{s}^{-1}}\] northwards. The average acceleration in this time is
  A)
  \[\frac{1}{2}m{{s}^{-2}}\] toward north done clear
  B)
  \[\frac{1}{\sqrt{2}}m{{s}^{-2}}\] toward north-east done clear
  C)
  \[\frac{1}{\sqrt{2}}m{{s}^{-2}}\] towards north-west done clear
  D)
  zero done clear
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• question_answer42)
  It is given that \[t=p{{x}^{2}}+qx\], where x is displacement and t is time. The acceleration of particle at origin is
  A)
  \[-\frac{2\text{p}}{{{\text{q}}^{3}}}\]  done clear
  B)
  \[-\frac{2\text{q}}{{{\text{p}}^{3}}}\] done clear
  C)
  \[\frac{2\text{p}}{{{\text{q}}^{3}}}\]     done clear
  D)
  \[\frac{2\text{q}}{{{\text{p}}^{3}}}\] done clear
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• question_answer43)
  An object, moving with a speed of \[6.25\text{ }m/s\], is decelerate data rate given by: \[\frac{\text{dv}}{\text{dt}}=\text{ -2}\text{.5}\sqrt{\text{v}}\]where v is the instantaneous speed. The time taken by the object, to come to rest, would be
  A)
  2s                     done clear
  B)
  4s   done clear
  C)
  8s                     done clear
  D)
  1s done clear
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• question_answer44)
  A bike accelerates from rest at a constant rate \[5\,\,m/{{s}^{2}}\] for some time after which it decelerates at a constant rate \[3\text{ }m/{{s}^{2}}\] to come to rest. If the total time elapsed is 8 second, the maximum velocity acquired by the bike is given by
  A)
  5 m/s    done clear
  B)
  10 m/s done clear
  C)
  12 m/s   done clear
  D)
  15 m/s done clear
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• question_answer45)
  A metro train starts from rest and in 5 s achieves 108 km/h. After that it moves with constant velocity and comes to rest after travelling 45 m with uniform retardation. If total distance travelled is 395 m, find total time of travelling.
  A)
  12.2s     done clear
  B)
  15.3s done clear
  C)
  9s                     done clear
  D)
  17.2s done clear
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• question_answer46)
  A car, starting from rest, accelerates at the rate through a distance S, then continues at constant speed for time t and then decelerates at the rate \[\frac{\text{f}}{2}\]to come to rest. If the total distance traversed is 15 S, then
  A)
  \[\text{S=}\frac{\text{1}}{\text{6}}\text{f}{{\text{t}}^{\text{2}}}\]       done clear
  B)
  \[\text{S=ft}\] done clear
  C)
  \[\text{S=}\frac{\text{1}}{\text{4}}\text{f}{{\text{t}}^{\text{2}}}\]       done clear
  D)
  \[\text{S=}\frac{\text{1}}{\text{72}}\text{f}{{\text{t}}^{\text{2}}}\] done clear
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• question_answer47)
  A particle starting with certain initial velocity and uniform acceleration covers a distance of 12 m in first 3 seconds and a distance of 30 m in next 3 seconds. The initial velocity of the particle is
  A)
  \[3\text{ }m{{s}^{-1}}\]           done clear
  B)
  \[2.5\text{ }m{{s}^{-1}}\] done clear
  C)
  \[2\text{ }m{{s}^{-1}}\]           done clear
  D)
  \[\text{1 }m{{s}^{-1}}\] done clear
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• question_answer48)
  The velocity of an object moving rectilinearly is given as a function of time by \[v=4t-3{{t}^{2}},\] where v is in m/s and t is in seconds. The average velocity of particle between t = 0 to t = 2 seconds is
  A)
  \[0\]                  done clear
  B)
  \[-2\text{ }m/s\] done clear
  C)
  \[-4\text{ }m/s\]  done clear
  D)
  \[\text{8 }m/s\] done clear
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• question_answer49)
  A body starts from rest and is uniformly accelerated for 30 s. The distance travelled in the first 10 s is \[{{x}_{1}}\], next 10 s is \[{{x}_{2}}\], and the last 10 s is \[{{x}_{3}}\]. Then \[{{x}_{1}}:\text{ }{{x}_{2}}:\text{ }{{x}_{3}}\] is the same as:
  A)
  1:2:4     done clear
  B)
  1:2:5 done clear
  C)
  1:3:5                 done clear
  D)
  1:3:9 done clear
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• question_answer50)
  The acceleration of a particle, starting from rest, varies with time according to the relation\[\text{a}=-\text{s}{{\omega }^{2}}\sin \omega \text{t}\]. The displacement of this particle at a time t will be
  A)
  \[\text{s sin }\omega \text{ t}\] done clear
  B)
  \[\text{s }\omega \text{  cos }\omega \text{  t}\] done clear
  C)
  \[\text{s }\omega \text{  sin}\omega \text{t}\]     done clear
  D)
  \[-\frac{1}{2}\left( \text{s}{{\omega }^{2}}\text{ sin }\omega \text{t} \right){{\text{t}}^{2}}\] done clear
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• question_answer51)
  A particle is moving along a straight line path according to the relation \[{{s}^{2}}=a{{t}^{2}}+2bt+c\]   s represents the distance travelled in t seconds and a, b, c are constants. Then the acceleration of the particle varies as
  A)
  \[{{s}^{-\,3}}\]        done clear
  B)
  \[{{s}^{3/2}}\] done clear
  C)
  \[{{s}^{-2/3}}\]   done clear
  D)
  \[{{s}^{2}}\] done clear
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• question_answer52)
  A car of mass 1000 kg is moving at a speed of 30 m/s. Brakes are applied to bring the car to rest. If the deceleration is \[5\text{ }m/{{s}^{2}}\] the car comes to stop after travelling d m in t s. Then
  A)
  d = 150, t=5 done clear
  B)
  d = 120, t=5 done clear
  C)
  d = 180, t=6     done clear
  D)
  d = 90, t=6 done clear
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• question_answer53)
  A goods train accelerating uniformly on a straight railway track, approaches an electric pole standing on the side of track. Its engine passes the pole with velocity u and the guard's room passes with velocity v. The middle wagon of the train passes the pole with a velocity.
  A)
  \[\frac{\text{u+v}}{2}\] done clear
  B)
  \[\frac{1}{2}\sqrt{{{\text{u}}^{\text{2}}}\text{+}{{\text{v}}^{\text{2}}}}\] done clear
  C)
  \[\sqrt{\text{uv}}\]                                 done clear
  D)
  \[\sqrt{\left( \frac{{{\text{u}}^{2}}+{{\text{v}}^{2}}}{2} \right)}\] done clear
  View Solution play_arrow

• question_answer54)
  Starting from rest a particle moves in a straight line with acceleration \[a={{(25-{{t}^{2}})}^{1/2}}m/{{s}^{2}}\] for \[0\le t\le \text{ }5s\], \[a=\frac{3\pi }{8}m/{{s}^{2}}\] for \[t>5s\]. The velocity of particle at \[t=7s\] is:
  A)
  11 m/s done clear
  B)
  22 m/s done clear
  C)
  33 m/s   done clear
  D)
  44 m/s done clear
  View Solution play_arrow

• question_answer55)
  A car accelerates from rest with a constant acceleration \[\alpha \] on a straight road. After gaining a velocity \[{{v}_{1}}\], the car moves with the same velocity for some-time. Then the car decelerated to rest with a retardation \[\beta \]. If the total distance covered by the car is equal to S, the total time taken for its motion is
  A)
  \[\frac{S}{v}+\frac{v}{2}\left( \frac{1}{\alpha }+\frac{1}{\beta } \right)\] done clear
  B)
  \[\frac{S}{v}+\frac{v}{\alpha }+\frac{v}{\beta }\] done clear
  C)
  \[\left( \frac{v}{\alpha }+\frac{v}{\beta } \right)\] done clear
  D)
  \[\frac{S}{v}-\frac{v}{2}\left( \frac{v}{\alpha }+\frac{1}{\beta } \right)\] done clear
  View Solution play_arrow

• question_answer56)
  A truck has to carry a load in the shortest time from one station to another station situated at a distance L from the first. It can start up or slowdown at the same acceleration or deceleration what maximum velocity must the truck attain to satisfy this condition?
  A)
  \[\sqrt{La}\]       done clear
  B)
  \[\sqrt{2La}\] done clear
  C)
  \[\sqrt{3La}\]                 done clear
  D)
  \[\sqrt{5La}\] done clear
  View Solution play_arrow

• question_answer57)
  Two trains, each 40 m long are travelling in opposite direction with equal velocity 20 m/s. The time of crossing is
  A)
  1s                     done clear
  B)
  2s    done clear
  C)
  3s                     done clear
  D)
  Zero done clear
  View Solution play_arrow

• question_answer58)
   The graph shown below represent
  A)
  A and B are moving with same velocity in opposite directions done clear
  B)
  velocity of B is more than A in same direction done clear
  C)
  velocity of A is more than B in same direction done clear
  D)
  velocity of A and B is equal in same direction done clear
  View Solution play_arrow

• question_answer59)
  Two cars A and B approach each other at the same speed, then what will be the velocity of A if velocity of B is 8 m/s?
  A)
  16 m/s done clear
  B)
  8 m/s done clear
  C)
  -8 m/s done clear
  D)
  Can't be determined. done clear
  View Solution play_arrow

• question_answer60)
  A train of 150 m length is going towards north direction at a speed of \[10\text{ }m{{s}^{-1}}\]. A parrot flies at a speed of \[5\text{ }m{{s}^{-1}}\] towards south direction parallel to the railway track. The time taken by the parrot to cross the train is equal to
  A)
  12s                   done clear
  B)
  8s   done clear
  C)
  15s                   done clear
  D)
  16s done clear
  View Solution play_arrow

• question_answer61)
  A boat takes 2 hours to travel 8 km and back in Still Water Lake. With water velocity of \[4\,\,km\,\,{{h}^{-1}}\], the time taken for going upstream of 8 km and coming back is
  A)
  160 minutes done clear
  B)
  80 minutes done clear
  C)
  100 minutes      done clear
  D)
  120 minutes done clear
  View Solution play_arrow

• question_answer62)
  Two trains are each 50 m long moving parallel towards each other at speeds \[10\text{ }m/s\] and 15 m/s respectively. After what time will they pass each other?
  A)
  \[5\sqrt{\frac{2}{3}}sec\]         done clear
  B)
  \[4\text{ }sec\] done clear
  C)
  \[\text{2 }sec\]               done clear
  D)
  \[\text{6 }sec\] done clear
  View Solution play_arrow

• question_answer63)
   A ship A is moving Westwards with a speed of \[10\text{ }km\text{ }{{h}^{-1}}\] and a ship B 100 km South of A, is moving Northwards with a speed of \[10\text{ }km\text{ }{{h}^{-1}}\]. The time after which the distance between them becomes shortest, is
  A)
  5h                     done clear
  B)
  \[5\sqrt{2}\,\,h\] done clear
  C)
  \[10\sqrt{2}\,h\]  done clear
  D)
  0 h done clear
  View Solution play_arrow

• question_answer64)
  A bus is moving with a velocity of \[10\text{ }m{{s}^{-1}}\] on a straight road. A scootorist wishes to overtake the bus in one minute. If the bus is at a distance of 1.2 km ahead, then the velocity with which he has to chase the bus is
  A)
  \[20\,m{{s}^{-1}}\]      done clear
  B)
  \[25\,m{{s}^{-1}}\] done clear
  C)
  \[60\,m{{s}^{-1}}\]      done clear
  D)
  \[30\,m{{s}^{-1}}\] done clear
  View Solution play_arrow

• question_answer65)
  Two particles P and Q simultaneously start moving from point A with velocities 15 m/s and 20 m/s respectively. The two particles move with acceleration equal in magnitude but opposite in direction. When P overtakes Q at B then its velocity is 30 m/s The velocity of Q at point B will be
  A)
  30 m/s   done clear
  B)
  5 m/s done clear
  C)
  20 m/s   done clear
  D)
  15 m/s done clear
  View Solution play_arrow

• question_answer66)
  A body A begins to move with initial velocity 2 m/sec and continue to moves at a constant acceleration \[a.\text{ }\Delta \text{t}=10\] seconds after the body A begins to move a body B departs from the same point with an initial velocity 12 m/sec and moves with the same acceleration a. What is the maximum acceleration a at which the body B can overtake A?
  A)
  \[1\text{ }m/{{s}^{2}}\]           done clear
  B)
  \[2\,m/{{s}^{2}}\] done clear
  C)
  \[1/2\text{ }m/{{s}^{2}}\]          done clear
  D)
  \[3\text{ }m/{{s}^{2}}\] done clear
  View Solution play_arrow

• question_answer67)
  Two particles start moving from rest from the same point along the same straight line. The first moves with constant velocity v and the second with constant acceleration a. During the time that elapse before the second catches the first, the greatest distance between the particles is
  A)
  \[\frac{{{\text{v}}^{2}}}{a}\]              done clear
  B)
  \[\frac{{{v}^{2}}}{2a}\] done clear
  C)
  \[\frac{\text{2}{{\text{v}}^{2}}}{a}\]               done clear
  D)
  \[\frac{{{\text{v}}^{2}}}{4a}\] done clear
  View Solution play_arrow

• question_answer68)
  A man travelling in a car with a maximum on stat speed of 20m/s watches the friend start off at a distance 100m ahead on a motor cycle with constant acceleration 'a'. The maximum value of 'a' for which the man in the car can reach his friend is
  A)
  \[2\text{ }m/{{s}^{2}}\]           done clear
  B)
  \[\text{1 }m/{{s}^{2}}\] done clear
  C)
  \[4\text{ }m/{{s}^{2}}\]           done clear
  D)
  \[8\text{ }m{{s}^{-2}}\] done clear
  View Solution play_arrow

• question_answer69)
  A body is thrown vertically upwards. If air resistance is to be taken into account, then the time during which the body rises is [assume no air resistance close to earth]
  A)
  equal to the time of fall done clear
  B)
  less than the time of fall done clear
  C)
  greater than the time of fall done clear
  D)
  twice the time of fall done clear
  View Solution play_arrow

• question_answer70)
  A body is thrown upwards and reaches half of its maximum height. At that position
  A)
  its acceleration is minimum done clear
  B)
  its velocity is maximum done clear
  C)
  its velocity is zero done clear
  D)
  its acceleration is constant done clear
  View Solution play_arrow

• question_answer71)
  A ball thrown vertically upwards after reaching a maximum height h, returns to the starting point after a time of 10 s. Its displacement is
  A)
  h                      done clear
  B)
  2 h done clear
  C)
  10 h                  done clear
  D)
  zero done clear
  View Solution play_arrow

• question_answer72)
  The ball is projected up from ground with speed \[30\text{ }m/sec\]. What is the average velocity for time 0 to 4 sec?     
  A)
  \[10\text{ }m/sec\]          done clear
  B)
  \[20\text{ }m/sec\] done clear
  C)
  \[\text{15 }m/sec\]          done clear
  D)
  \[zero\] done clear
  View Solution play_arrow

• question_answer73)
  A body is projected vertically upwards. If \[{{t}_{1}}\] and \[{{t}_{2}}\] be the times at which it is at height h above the projection while ascending and descending respectively, then h is
  A)
  \[\frac{1}{2}g{{t}_{1}}{{t}_{2}}\]        done clear
  B)
  \[g\,{{t}_{1}}{{t}_{2}}\] done clear
  C)
  \[2g\,{{t}_{1}}{{t}_{2}}\]         done clear
  D)
  \[2hg\] done clear
  View Solution play_arrow

• question_answer74)
  Two balls A and B of same mass are thrown from the top of the building. A thrown upward with velocity v and B, thrown down with velocity v,  hen
  A)
  velocity A is more than B at the ground done clear
  B)
  velocity of B is more than A at the ground done clear
  C)
  both A & B strike the ground with same velocity done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer75)
  A rocket is fired upward from the earth's surface such that it creates an acceleration of \[19.6\,\,m{{s}^{-2}}\]. If after 5 s, its engine is switched off, the maximum height of the rocket from earth's surface would be
  A)
  980 m   done clear
  B)
  735 m   done clear
  C)
  490 m   done clear
  D)
  245 m done clear
  View Solution play_arrow

• question_answer76)
  A man throws balls with same speed vertically upwards one after the other at an interval of 2 sec. What should be the speed of throw so that more man two balls are in air at any time?
  A)
  Only with speed 19.6 m/s done clear
  B)
  More than 19.6 m/s done clear
  C)
  At least 9.8 m/s done clear
  D)
  Any speed less than 19.6 m/s. done clear
  View Solution play_arrow

• question_answer77)
  A stone is dropped from a rising balloon at a height of 76 m above the ground and reaches the ground in 6s. What was the velocity of the balloon when the stone was dropped? Take \[g=10\text{ }m/{{s}^{2}}\]
  A)
  \[\frac{52}{3}\,m/s\] upward done clear
  B)
  \[\frac{52}{3}\,m/s\] downward done clear
  C)
  \[3\text{ }m/s\]             done clear
  D)
  \[9.8\text{ }m/s\] done clear
  View Solution play_arrow

• question_answer78)
  Let A, B, C, D be points on a vertical line such that AB = BC = CD. If a body is released from position A, the times of descent through AB, BC and CD are in the ratio.  
  A)
  \[1:\sqrt{3}-\sqrt{2}:\sqrt{3}+\sqrt{2}\] done clear
  B)
  \[1:\sqrt{2}-1:\sqrt{3}-\sqrt{2}\] done clear
  C)
  \[1:\sqrt{2}-1:\sqrt{3}\] done clear
  D)
  \[1:\sqrt{2}:\sqrt{3}-1\] done clear
  View Solution play_arrow

• question_answer79)
  If two balls of masses \[{{m}_{1}}\] and \[{{m}_{2}}({{m}_{1}}=2{{m}_{2}})\] are dropped from the same height, then the ratio of the time taken by them to reach the ground will be
  A)
  \[{{m}_{1}}:{{m}_{2}}\]          done clear
  B)
  \[2{{m}_{2}}:{{m}_{1}}\] done clear
  C)
  1 : 1      done clear
  D)
  1 : 2 done clear
  View Solution play_arrow

• question_answer80)
  A boy standing at the top of a tower of 20 m height drops a stone. Assuming \[g=10\text{ }m{{s}^{-2}}\], the  velocity with which it hits the ground is
  A)
  \[10.0\,m/s\]       done clear
  B)
  \[20.0\,m/s\] done clear
  C)
  \[40.0\,m/s\]       done clear
  D)
  \[5.0\,m/s\] done clear
  View Solution play_arrow

• question_answer81)
  What will be the ratio of the distances moved by a freely falling body from rest on 4th and 5th seconds of journey?
  A)
  4 : 5      done clear
  B)
  7 : 9  done clear
  C)
  16 : 25 done clear
  D)
  1 : 1 done clear
  View Solution play_arrow

• question_answer82)
  From a balloon moving upwards with a velocity of \[12\text{ }m{{s}^{-1}}\], a packet is released when it is at a height of 65 m from the ground. 7 lie time taken by it to reach the ground is \[(g=10\text{ }m{{s}^{-2}})\]
  A)
  5s                     done clear
  B)
  8s done clear
  C)
  4s                     done clear
  D)
  7s done clear
  View Solution play_arrow

• question_answer83)
  A ball dropped from a point A falls down vertically to C, through the midpoint B. The descending time from A to B and that from A to C are in the ratio
  A)
  1 : 1      done clear
  B)
  1 : 2  done clear
  C)
  1 : 3      done clear
  D)
  \[1:\sqrt{2}\] done clear
  View Solution play_arrow

• question_answer84)
  A ball is dropped from a high rise platform at t = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed v. The two balls meet at t = 18s. What is the value of v? \[(take\text{ }g=10\text{ }m/{{s}^{2}})\]
  A)
  75 m/s   done clear
  B)
  55 m/s done clear
  C)
  40 m/s   done clear
  D)
  60 m/s done clear
  View Solution play_arrow

• question_answer85)
  A stone falls freely under gravity. It covers distances \[{{h}_{1}},\,\,{{h}_{2}}\] and \[{{h}_{3}}\] in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between \[{{h}_{1}},\,\,{{h}_{2}}\] and \[{{h}_{3}}\] is       
  A)
  \[{{h}_{1}}=\frac{{{h}_{2}}}{3}=\frac{{{h}_{3}}}{5}\]         done clear
  B)
  \[{{h}_{2}}=3{{h}_{1}}\text{ }and\text{ }{{h}_{3}}=3{{h}_{2}}\] done clear
  C)
  \[{{h}_{1}}={{h}_{2}}={{h}_{3}}\]               done clear
  D)
  \[{{h}_{1}}=2{{h}_{2}}=3{{h}_{3}}\] done clear
  View Solution play_arrow

• question_answer86)
  From a building two balls A and B are thrown such that A is thrown upwards and B downwards (both vertically). If \[{{T}_{A}}\] and \[{{T}_{B}}\] are their respective time of flights then
  A)
  \[{{T}_{A}}>{{T}_{B}}\]                    done clear
  B)
  \[{{T}_{A}}={{T}_{B}}\] done clear
  C)
  \[{{T}_{A}}<{{T}_{B}}\] done clear
  D)
  Their time of flights depend on their masses. done clear
  View Solution play_arrow

• question_answer87)
   A ball is released from the top of tower of height h meter. It takes T second to reach the ground. What is the position in (m) from the ground of the ball in T/3 second?
  A)
  \[\frac{h}{9}\]               done clear
  B)
  \[\frac{7h}{9}\] done clear
  C)
  \[\frac{8h}{9}\]              done clear
  D)
  \[\frac{17h}{18}\] done clear
  View Solution play_arrow

• question_answer88)
  A stone is dropped into a well in which the level of water is h below the top of the well. If v is velocity of sound, the time T after which the splash is heard is given by   
  A)
  \[T=2h/v\]         done clear
  B)
  \[\text{T=}\sqrt{\left( \frac{\text{2h}}{\text{g}} \right)\text{+}\frac{\text{h}}{\text{v}}}\] done clear
  C)
  \[\text{T=}\sqrt{\left( \frac{\text{2h}}{\text{g}} \right)}\text{+}\frac{\text{h}}{\text{g}}\] done clear
  D)
  \[\text{T=}\sqrt{\left( \frac{\text{h}}{\text{2g}} \right)}\text{+}\frac{\text{2h}}{\text{v}}\] done clear
  View Solution play_arrow

• question_answer89)
  A ball is thrown vertically upwards. It was observed, at a height h twice with a time interval \[\Delta \,t\]. The initial velocity of the ball is
  A)
  \[\sqrt{8gh+{{g}^{2}}{{\left( \Delta \,t \right)}^{2}}}\] done clear
  B)
  \[\sqrt{8gh+{{\left( \frac{g\Delta \,t}{2} \right)}^{2}}}\] done clear
  C)
  \[\frac{1}{2}\sqrt{8gh+{{g}^{2}}{{\left( \Delta \,t \right)}^{2}}}\] done clear
  D)
  \[\sqrt{8gh+4{{g}^{2}}{{\left( \Delta \,t \right)}^{2}}}\] done clear
  View Solution play_arrow

• question_answer90)
  The balls are released from the top of a tower of height H at regular interval of time. When first ball reaches at the ground, the nth ball is to be just released and \[{{\left( \frac{\text{n+1}}{\text{2}} \right)}^{\text{th}}}\]ball is at same distance 'h' from top of the tower. The value of h is.
  A)
  \[\frac{2}{3}\,\,H\]         done clear
  B)
  \[\frac{3}{4}H\] done clear
  C)
  \[\frac{4}{5}H\]             done clear
  D)
  \[\frac{5\,H}{6}\] done clear
  View Solution play_arrow

• question_answer91)
  A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity \[25\text{ }m{{s}^{-1}}\]. Then the distance from the top of the tower, at which the two balls meet is
  A)
  68.4 m done clear
  B)
  48.4 m done clear
  C)
  18.4 m done clear
  D)
  78.4 m done clear
  View Solution play_arrow

• question_answer92)
  A body thrown vertically so as to reach its maximum height in t second. The total time from the time of projection to reach a point at half of its maximum height while returning (in sec) is
  A)
  \[\sqrt{\text{2}}\text{t}\]            done clear
  B)
  \[\left( \text{1+}\frac{\text{1}}{\sqrt{\text{2}}} \right)\text{t}\] done clear
  C)
  \[\frac{\text{3t}}{\text{2}}\]                   done clear
  D)
  \[\frac{\text{t}}{\sqrt{\text{2}}}\] done clear
  View Solution play_arrow

• question_answer93)
  A body dropped from top of a tower fall through 40 m during the last two seconds of its fall. The height of tower is \[(g=10\text{ }m/{{s}^{2}})\]
  A)
  60 m     done clear
  B)
  45 m done clear
  C)
  80 m     done clear
  D)
  50 m done clear
  View Solution play_arrow

• question_answer94)
  From a pole of height 10 m, a stone is thrown vertically upwards with a speed 5 m/s. The time taken by the stone, to hit the ground, is n times that taken by it to reach the highest point of its path. The value of n is \[[take\text{ }g=10\text{ }m/{{s}^{2}}]\]
  A)
  2                      done clear
  B)
  3     done clear
  C)
  4                      done clear
  D)
  5 done clear
  View Solution play_arrow

• question_answer95)
  A body A is thrown vertically upward with the initial velocity \[{{v}_{1}}\]. Another body B is dropped from a height h. Find how the distance x between the bodies depends on the time t if the bodies begin to move simultaneously.
  A)
  \[x=h-{{v}_{1}}t\] done clear
  B)
  \[x=\left( h-{{v}_{1}} \right)t\] done clear
  C)
  \[x=h-\frac{{{v}_{1}}}{t}\] done clear
  D)
  \[x=\frac{h}{t}-{{v}_{1}}\] done clear
  View Solution play_arrow

• question_answer96)
  A body is thrown upwards. If air resistance causing deceleration of \[5\text{ }m/{{s}^{2}}\], then ratio of time of ascent to time of descent is \[[take\text{ }g=10\text{ }m/{{s}^{2}}]\]
  A)
  \[\sqrt{\frac{1}{2}}\]                  done clear
  B)
  \[\sqrt{\frac{1}{2.5}}\] done clear
  C)
  \[\sqrt{\frac{1}{3}}\]                  done clear
  D)
  \[\sqrt{\frac{1}{5}}\] done clear
  View Solution play_arrow

• question_answer97)
  A particle when thrown, moves such that it passes from same height at 2 and 10 seconds, then this height h is:
  A)
  5g                     done clear
  B)
  g     done clear
  C)
  8g   done clear
  D)
  10g done clear
  View Solution play_arrow

• question_answer98)
  A hunter tries to hunt a monkey with a small, very poisonous arrow, blown from a pipe with initial speed \[{{v}_{0}}\]. The monkey is hanging on a branch of tree at height H above the ground. The hunter is at a distance L from the bottom of the tree. The monkey sees the arrow leaving the blow pipe and immediately loses the grip on the tree, falling freely down with zero initial velocity. The minimum initial speed \[{{v}_{0}}\] of the arrow for hunter to succeed while monkey is in air is
  A)
  \[\sqrt{\frac{g\left( {{H}^{2}}+{{L}^{2}} \right)}{2H}}\] done clear
  B)
  \[\sqrt{\frac{g{{H}^{2}}}{\sqrt{{{H}^{2}}+{{L}^{2}}}}}\] done clear
  C)
  \[\sqrt{\frac{g\sqrt{{{H}^{2}}+{{L}^{2}}}}{H}}\] done clear
  D)
  \[\sqrt{\frac{2g{{H}^{2}}}{\sqrt{{{H}^{2}}+{{L}^{2}}}}}\] done clear
  View Solution play_arrow

• question_answer99)
  A ball is dropped from the top of a building. The ball takes 0.5 s to fall past the 3 m length of a window some distance from the top of the building. If the velocities of the ball at the top and at the bottom of the window are \[{{v}_{T}}\] and \[{{v}_{B}}\] respectively, then \[(take\text{ }g=10\text{ }m/{{s}^{2}})\]
  A)
  \[{{\text{v}}_{\text{T}}}\text{+}{{\text{v}}_{\text{B}}}\text{=12m}{{\text{s}}^{-1}}\] done clear
  B)
  \[{{\text{v}}_{\text{T}}}-{{\text{v}}_{\text{B}}}=4.9\text{m}{{\text{s}}^{-1}}\] done clear
  C)
  \[{{\text{v}}_{\text{B}}}{{\text{v}}_{\text{T}}}\text{=1m}{{\text{s}}^{-1}}\] done clear
  D)
  \[{{\text{v}}_{\text{B}}}\text{/}{{\text{v}}_{\text{T}}}\text{=1m}{{\text{s}}^{-1}}\] done clear
  View Solution play_arrow

• question_answer100)
  From a building two balls A and B are thrown such that A is thrown upwards and B downwards (both vertically). If \[{{v}_{A}}\] and \[{{v}_{B}}\] are their respective velocities on reaching the ground, then
  A)
  \[{{v}_{B}}>{{v}_{A}}\]                     done clear
  B)
  \[{{v}_{A}}={{v}_{B}}\] done clear
  C)
  \[{{v}_{A}}>{{v}_{B}}\] done clear
  D)
  their velocities depend on their masses. done clear
  View Solution play_arrow