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

done Non-uniform Motion Total Questions - 85

• question_answer1)
  A particle experiences a constant acceleration for 20 sec after starting from rest. If it travels a distance \[{{S}_{1}}\] in the first 10 sec and a distance \[{{S}_{2}}\] in the next 10 sec, then   [NCERT 1972; CPMT 1997; MP PMT 2002]          
  A)
              \[{{S}_{1}}={{S}_{2}}\]    done clear
  B)
              \[{{S}_{1}}={{S}_{2}}/3\] done clear
  C)
              \[{{S}_{1}}={{S}_{2}}/2\] done clear
  D)
              \[{{S}_{1}}={{S}_{2}}/4\] done clear
  View Solution play_arrow

• question_answer2)
  The displacement \[x\]  of a particle along a straight line at time \[t\] is given by \[x={{a}_{0}}+{{a}_{1}}t+{{a}_{2}}{{t}^{2}}\]. The acceleration of the particle is              [NCERT 1974; RPMT 1999; AFMC 1999]
  A)
              \[{{a}_{0}}\]  done clear
  B)
              \[{{a}_{1}}\] done clear
  C)
              \[2{{a}_{2}}\]            done clear
  D)
              \[{{a}_{2}}\] done clear
  View Solution play_arrow

• question_answer3)
  The coordinates of a moving particle at any time are given by \[x=a{{t}^{2}}\] and \[y=b{{t}^{2}}\]. The speed of the particle at any moment is                          [DPMT 1984; CPMT 1997]
  A)
              \[2t(a+b)\]       done clear
  B)
              \[2t\sqrt{({{a}^{2}}-{{b}^{2}})}\] done clear
  C)
              \[t\,\sqrt{{{a}^{2}}+{{b}^{2}}}\]           done clear
  D)
              \[2t\sqrt{({{a}^{2}}+{{b}^{2}})}\] done clear
  View Solution play_arrow

• question_answer4)
  An electron starting from rest has a velocity that increases linearly with the time that is \[v=kt,\] where \[k=2m/{{\sec }^{2}}\]. The distance travelled in the first 3 seconds will be            [NCERT 1982]
  A)
              9 \[m\] done clear
  B)
              16 \[m\] done clear
  C)
              27 \[m\]            done clear
  D)
              36 \[m\] done clear
  View Solution play_arrow

• question_answer5)
  The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is                               [NCERT 1990]
  A)
              Increasing with time     done clear
  B)
              Decreasing with time done clear
  C)
              Constant but not zero  done clear
  D)
              Zero done clear
  View Solution play_arrow

• question_answer6)
  The instantaneous velocity of a body can be measured
  A)
              Graphically             done clear
  B)
              Vectorially done clear
  C)
              By speedometer           done clear
  D)
              None of these done clear
  View Solution play_arrow

• question_answer7)
  A body is moving from rest under constant acceleration and let \[{{S}_{1}}\] be the displacement in the first \[(p-1)\] sec and \[{{S}_{2}}\] be the displacement in the first \[p\,\sec .\] The displacement in \[{{({{p}^{2}}-p+1)}^{th}}\] sec. will be
  A)
              \[{{S}_{1}}+{{S}_{2}}\] done clear
  B)
              \[{{S}_{1}}{{S}_{2}}\] done clear
  C)
              \[{{S}_{1}}-{{S}_{2}}\]      done clear
  D)
              \[{{S}_{1}}/{{S}_{2}}\] done clear
  View Solution play_arrow

• question_answer8)
  A body under the action of several forces will have zero acceleration
  A)
              When the body is very light done clear
  B)
              When the body is very heavy done clear
  C)
              When the body is a point body done clear
  D)
              When the vector sum of all the forces acting on it is zero done clear
  View Solution play_arrow

• question_answer9)
  A body starts from the origin and moves along the X-axis such that the velocity at any instant is given by \[(4{{t}^{3}}-2t)\], where \[t\] is in sec and velocity in\[m/s\]. What  is the acceleration of the particle, when it is 2 m from the origin
  A)
              \[28\,\,m/{{s}^{2}}\] done clear
  B)
              \[22\,\,m/{{s}^{2}}\] done clear
  C)
              \[12\,m/{{s}^{2}}\]  done clear
  D)
              \[10\,\,m/{{s}^{2}}\] done clear
  View Solution play_arrow

• question_answer10)
  The relation between time and distance is \[t=\alpha {{x}^{2}}+\beta x\], where \[\alpha \] and \[\beta \] are constants. The retardation is               [NCERT 1982; AIEEE 2005]
  A)
              \[2\alpha {{v}^{3}}\]           done clear
  B)
              \[2\beta {{v}^{3}}\] done clear
  C)
              \[2\alpha \beta {{v}^{3}}\]   done clear
  D)
              \[2{{\beta }^{2}}{{v}^{3}}\] done clear
  View Solution play_arrow

• question_answer11)
  A point moves with uniform acceleration and \[{{v}_{1}},\,{{v}_{2}}\] and \[{{v}_{3}}\] denote the average velocities in the three successive intervals of time \[{{t}_{1}},\,{{t}_{2}}\] and \[{{t}_{3}}\]. Which of the following relations is correct                             [NCERT 1982]
  A)
              \[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}-{{t}_{2}}):({{t}_{2}}+{{t}_{3}})\] done clear
  B)
              \[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}+{{t}_{2}}):({{t}_{2}}+{{t}_{3}})\] done clear
  C)
              \[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}-{{t}_{2}}):({{t}_{1}}-{{t}_{3}})\] done clear
  D)
              \[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}-{{t}_{2}}):({{t}_{2}}-{{t}_{3}})\] done clear
  View Solution play_arrow

• question_answer12)
  The acceleration of a moving body can be found from  [DPMT 1981]
  A)
              Area under velocity-time graph done clear
  B)
              Area under distance-time graph done clear
  C)
              Slope of the velocity-time graph done clear
  D)
              Slope of distance-time graph done clear
  View Solution play_arrow

• question_answer13)
  The initial velocity of a particle is \[u\]  (at \[t=0\]) and the acceleration \[{{n}^{th}}\] is given by \[at\]. Which of the following relation is valid                        [CPMT 1981; BHU 1995]
  A)
              \[v=u+a{{t}^{2}}\] done clear
  B)
              \[v=u+a\frac{{{t}^{2}}}{2}\] done clear
  C)
              \[v=u+at\]      done clear
  D)
              \[v=u\] done clear
  View Solution play_arrow

• question_answer14)
  The initial velocity of the particle is \[10\,\,m/\sec \] and its retardation is \[=8\times \frac{9}{2}=36\ m\]. The distance moved by the particle in \[5th\]  second of its motion is                     [CPMT 1976]
  A)
              \[1\,\,m\]           done clear
  B)
              \[19\,\,m\] done clear
  C)
              \[50\,\,m\]         done clear
  D)
              \[75\,m\] done clear
  View Solution play_arrow

• question_answer15)
  A motor car moving with a uniform speed of \[20\,m/\sec \] comes to stop on the application of brakes after travelling a distance of\[10\,m\] Its acceleration is           [EAMCET 1979]
  A)
              \[20\,m/{{\sec }^{2}}\]         done clear
  B)
              \[-20m/{{\sec }^{2}}\] done clear
  C)
              \[-40\,\,m/{{\sec }^{2}}\]      done clear
  D)
              \[+2m/{{\sec }^{2}}\] done clear
  View Solution play_arrow

• question_answer16)
  The velocity of a body moving with a uniform acceleration of \[2\,\,m./{{\sec }^{2}}\] is \[10\,\,m/\sec \]. Its velocity after an interval of 4 sec is                             [EAMCET 1979]
  A)
              \[12\,\,m/\sec \] done clear
  B)
              \[14\,\,m/\sec \] done clear
  C)
              \[16\,\,m/\sec \] done clear
  D)
              \[18\,\,m/\sec \] done clear
  View Solution play_arrow

• question_answer17)
  A particle starting from rest travels a distance \[x\] in first 2 seconds and a distance \[y\] in next two seconds, then                                                 [EAMCET 1982]
  A)
              \[y=x\] done clear
  B)
              \[y=2x\] done clear
  C)
              \[y=3x\] done clear
  D)
              \[y=4x\] done clear
  View Solution play_arrow

• question_answer18)
  The initial velocity of a body moving along a straight line is 7 \[m/s\]. It has a uniform acceleration of \[4\,m/{{s}^{2}}\]. The distance covered by the body in the 5th second of its motion is                                           [MP PMT 1994]
  A)
              25 m done clear
  B)
              35 m done clear
  C)
              50 m    done clear
  D)
              85 m done clear
  View Solution play_arrow

• question_answer19)
  The velocity of a body depends on time according to the equation \[v=20+0.1{{t}^{2}}\]. The body is undergoing [MNR 1995; UPSEAT 2000]
  A)
              Uniform acceleration   done clear
  B)
              Uniform retardation done clear
  C)
              Non-uniform acceleration        done clear
  D)
              Zero acceleration done clear
  View Solution play_arrow

• question_answer20)
  Which of the following four statements is false [Manipal MEE 1995]
  A)
              A body can have zero velocity and still be accelerated done clear
  B)
                  A body can have a constant velocity and still have a varying speed done clear
  C)
                  A body can have a constant speed and still have a varying velocity done clear
  D)
              The direction of the velocity of a body can change when its acceleration is constant done clear
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• question_answer21)
  A particle moving with a uniform acceleration travels 24 m and 64 m in the first two consecutive intervals of 4 sec each. Its initial velocity is                                 [MP PET 1995]
  A)
           1 m/sec         done clear
  B)
              \[10\,m/\sec \] done clear
  C)
              5 m/sec done clear
  D)
                          2 m/sec done clear
  View Solution play_arrow

• question_answer22)
  The position of a particle moving in the xy-plane at any time \[t\] is given by \[x=(3{{t}^{2}}-6t)\] metres, \[y=({{t}^{2}}-2t)\] metres. Select the correct statement about the moving particle from the following                               [MP PMT 1995]
  A)
  (a) The acceleration of the particle is zero at \[t=0\] second done clear
  B)
              The velocity of the particle is zero at \[t=0\] second done clear
  C)
              The velocity of the particle is zero at \[t=1\] second done clear
  D)
              The velocity and acceleration of the particle are never zero done clear
  View Solution play_arrow

• question_answer23)
  If body having initial velocity zero is moving with uniform acceleration \[8\,\,m/{{\sec }^{2}}\] the distance travelled by it in fifth second will be        [MP PMT 1996; DPMT 2001]
  A)
              36 metres done clear
  B)
              40 metres done clear
  C)
              100 metres       done clear
  D)
              Zero done clear
  View Solution play_arrow

• question_answer24)
  An alpha particle enters a hollow tube of 4 m length with an initial speed of 1 km/s. It is accelerated in the tube and comes out of it with a speed of 9 km/s. The time for which it remains inside the tube is
  A)
              \[8\times {{10}^{-3}}\]s       done clear
  B)
              \[80\times {{10}^{-3}}s\] done clear
  C)
              \[800\times {{10}^{-3}}s\]   done clear
  D)
              \[8\times {{10}^{-4}}s\] done clear
  View Solution play_arrow

• question_answer25)
  Two cars \[A\] and \[B\] are travelling in the same direction with velocities \[{{v}_{1}}\] and \[{{v}_{2}}\]\[({{v}_{1}}>{{v}_{2}})\]. When the car \[A\] is at a distance \[d\] ahead of the car \[B\], the driver of the car \[A\] applied the brake producing a uniform retardation \[a\] There will be no collision when                                [Pb. PET 2004]
  A)
              \[d<\frac{{{({{v}_{1}}-{{v}_{2}})}^{2}}}{2a}\]          done clear
  B)
              \[d<\frac{v_{1}^{2}-v_{2}^{2}}{2a}\] done clear
  C)
              \[d>\frac{{{({{v}_{1}}-{{v}_{2}})}^{2}}}{2a}\] done clear
  D)
              \[d>\frac{v_{1}^{2}-v_{2}^{2}}{2a}\] done clear
  View Solution play_arrow

• question_answer26)
  A body of mass 10 kg is moving with a constant velocity of 10 m/s. When a constant force acts for 4 seconds on it, it moves with a velocity 2 m/sec in the opposite direction. The acceleration produced in it is                                 [MP PET 1997]
  A)
              \[3\,m/{{\sec }^{2}}\]           done clear
  B)
              \[-3m/{{\sec }^{2}}\] done clear
  C)
              \[0.3\,m/{{\sec }^{2}}\]        done clear
  D)
              \[-0.3\,m/{{\sec }^{2}}\] done clear
  View Solution play_arrow

• question_answer27)
  A body starts from rest from the origin with an acceleration of \[6\,m/{{s}^{2}}\] along the x-axis and \[8\,m/{{s}^{2}}\] along the y-axis. Its distance from the origin after 4 seconds will be     [MP PMT 1999]
  A)
              56 m    done clear
  B)
              64 m done clear
  C)
              80 m done clear
  D)
              128 m done clear
  View Solution play_arrow

• question_answer28)
  A car moving with a velocity of 10 m/s can be stopped by the application of a constant force F in a distance of 20 m. If the velocity of the car is 30 m/s, it can be stopped by this force in                                   [MP PMT 1999]
  A)
              \[\frac{20}{3}m\]        done clear
  B)
              20 m done clear
  C)
              60 m    done clear
  D)
              180 m done clear
  View Solution play_arrow

• question_answer29)
  The displacement of a particle is given by \[y=a+bt+c{{t}^{2}}-d{{t}^{4}}\].  The initial velocity and acceleration are respectively         [CPMT 1999, 2003]
  A)
              \[b,\,-4d\]         done clear
  B)
              \[-b,\,2c\] done clear
  C)
              \[b,\,2c\]           done clear
  D)
              \[2c,\,-4d\] done clear
  View Solution play_arrow

• question_answer30)
  A car moving with a speed of 40 km/h can be stopped by applying brakes after atleast 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance [CBSE PMT 1998,1999; AFMC 2000; JIPMER 2001, 02]
  A)
              8 m      done clear
  B)
              2 m done clear
  C)
              4 m      done clear
  D)
              6 m done clear
  View Solution play_arrow

• question_answer31)
  An elevator car, whose floor to ceiling distance is equal to 2.7 m, starts ascending with constant acceleration of 1.2 ms?2.     2 sec after the start, a bolt begins fallings from the ceiling of the car. The free fall time of the bolt is   [KCET 1994]
  A)
              \[\sqrt{0.54}\,s\]          done clear
  B)
              \[\sqrt{6}\,s\] done clear
  C)
              0.7 s     done clear
  D)
               1 s done clear
  View Solution play_arrow

• question_answer32)
  The displacement is given by \[x=2{{t}^{2}}+t+5\], the acceleration at  \[t=2s\] is                                  [EAMCET (Engg.) 1995]
  A)
              \[4\,\,m/{{s}^{2}}\]  done clear
  B)
              \[8\,\,m/{{s}^{2}}\] done clear
  C)
              \[10\,m/{{s}^{2}}\]  done clear
  D)
              \[15\,m/{{s}^{2}}\] done clear
  View Solution play_arrow

• question_answer33)
  Two trains travelling on the same track are approaching each other with equal speeds of 40 m/s. The drivers of the trains begin to decelerate simultaneously when they are just 2.0 km apart. Assuming the decelerations to be uniform and equal, the value of the deceleration to barely avoid collision should be                             [AMU 1995]
  A)
              11.8 \[m/{{s}^{2}}\] done clear
  B)
              11.0 \[m/{{s}^{2}}\] done clear
  C)
              2.1 \[m/{{s}^{2}}\]  done clear
  D)
              0.8 \[m/{{s}^{2}}\] done clear
  View Solution play_arrow

• question_answer34)
  A body moves from rest with a constant acceleration of \[5\,m/{{s}^{2}}\]. Its instantaneous speed (in \[m/s)\] at the end of 10 sec  is                                     [SCRA 1994]
  A)
              50        done clear
  B)
              5 done clear
  C)
              2          done clear
  D)
              0.5 done clear
  View Solution play_arrow

• question_answer35)
  A boggy of uniformly moving train is suddenly detached from train and stops after covering some distance. The distance covered by the boggy and distance covered by the train in the same time has relation                      [RPET 1997]
  A)
              Both will be equal done clear
  B)
              First will be half of second done clear
  C)
              First will be 1/4 of second done clear
  D)
              No definite ratio done clear
  View Solution play_arrow

• question_answer36)
  A body starts from rest. What is the ratio of the distance travelled by the body during the 4th and 3rd second             [CBSE PMT 1993]
  A)
              \[\frac{7}{5}\] done clear
  B)
              \[\frac{5}{7}\] done clear
  C)
              \[\frac{7}{3}\] done clear
  D)
              \[\frac{3}{7}\] done clear
  View Solution play_arrow

• question_answer37)
  The acceleration \['a'\] in \[m/{{s}^{2}}\] of a particle is given by \[a=3{{t}^{2}}+2t+2\] where \[t\] is the time. If the particle starts out with a velocity  \[u=2\,m/s\] at \[t=0\], then the velocity at the end of  2 second is              [MNR 1994; SCRA 1994]
  A)
              12 m/s done clear
  B)
              18 m/s done clear
  C)
              27 m/s done clear
  D)
                          36 m/s done clear
  View Solution play_arrow

• question_answer38)
  A particle moves along a straight line such that its displacement at any time \[t\] is given by \[S={{t}^{3}}-6{{t}^{2}}+3t+4\] metres The velocity when the acceleration is zero is                [CBSE PMT 1994; JIPMER 2001, 02]
  A)
              \[3m{{s}^{-1}}\]      done clear
  B)
              \[-12m{{s}^{-1}}\] done clear
  C)
              \[42\,m{{s}^{-1}}\] done clear
  D)
              \[-9\,m{{s}^{-1}}\] done clear
  View Solution play_arrow

• question_answer39)
  For a moving body at any instant of time        [NTSE 1995]
  A)
              If the body is not moving, the acceleration is necessarily zero done clear
  B)
              If the body is slowing, the retardation is negative done clear
  C)
              If the body is slowing, the distance is negative done clear
  D)
                  If displacement, velocity and acceleration at that instant are known, we can find the displacement at any given time in future done clear
  View Solution play_arrow

• question_answer40)
  The \[x\] and \[y\] coordinates of a particle at any time \[t\] are given by \[x=7t+4{{t}^{2}}\] and \[y=5t\],  where \[x\] and \[y\] are in metre and \[t\]  in seconds. The acceleration of particle at \[t=5\]s is                                [SCRA 1996]
  A)
              Zero     done clear
  B)
              \[8\,\,m/{{s}^{2}}\] done clear
  C)
              20 \[m/{{s}^{2}}\]   done clear
  D)
              40 \[m/{{s}^{2}}\] done clear
  View Solution play_arrow

• question_answer41)
  The engine of a car produces acceleration \[4\,m/{{s}^{2}}\] in the car. If this car pulls another car of same mass, what will be the acceleration produced                          [RPET 1996]
  A)
              \[8\,m/{{s}^{2}}\]    done clear
  B)
              \[2\,m/{{s}^{2}}\] done clear
  C)
              \[4\,m/{{s}^{2}}\]    done clear
  D)
              \[\frac{1}{2}m/{{s}^{2}}\] done clear
  View Solution play_arrow

• question_answer42)
  If a body starts from rest and travels 120 cm in the 6th second, then what is the acceleration [AFMC 1997]
  A)
              0.20 \[m/{{s}^{2}}\] done clear
  B)
              0.027 \[m/{{s}^{2}}\] done clear
  C)
              0.218 \[m/{{s}^{2}}\] done clear
  D)
              0.03 \[m/{{s}^{2}}\] done clear
  View Solution play_arrow

• question_answer43)
   If a car at rest accelerates uniformly to a speed of 144 km/h in 20 s. Then it covers a distance of   [CBSE PMT 1997]
  A)
              20 m    done clear
  B)
              400 m done clear
  C)
              1440 m done clear
  D)
              2880 m done clear
  View Solution play_arrow

• question_answer44)
  The position \[x\] of a particle varies with time \[t\] as \[x=a{{t}^{2}}-b{{t}^{3}}\]. The acceleration of the particle will be zero at time \[t\] equal to                      [CBSE PMT 1997; BHU 1999; DPMT 2000; KCET 2000]
  A)
              \[\frac{a}{b}\] done clear
  B)
              \[7.5\ km/h\] done clear
  C)
              \[\frac{a}{3b}\]           done clear
  D)
              Zero done clear
  View Solution play_arrow

• question_answer45)
  A truck and a car are moving with equal velocity. On applying the brakes both will stop after certain distance, then                                    [CPMT 1997]
  A)
              Truck will cover less distance before rest done clear
  B)
              Car will cover less distance before rest done clear
  C)
              Both will cover equal distance done clear
  D)
              None done clear
  View Solution play_arrow

• question_answer46)
  If a train travelling at 72 kmph is to be brought to rest in a distance of 200 metres, then its retardation should be             [SCRA 1998; MP PMT 2004]
  A)
              20 \[m{{s}^{-2}}\]   done clear
  B)
              10\[m{{s}^{-2}}\] done clear
  C)
              2 \[m{{s}^{-2}}\]     done clear
  D)
              1 \[m{{s}^{-2}}\] done clear
  View Solution play_arrow

• question_answer47)
  The displacement of a particle starting from rest (at \[t=0\]) is given by \[s=6{{t}^{2}}-{{t}^{3}}\]. The time in seconds at which the particle will attain zero velocity again, is        [SCRA 1998]
  A)
              2          done clear
  B)
              4 done clear
  C)
              6          done clear
  D)
              8 done clear
  View Solution play_arrow

• question_answer48)
  What is the relation between displacement, time and acceleration in case of a body having uniform acceleration [DCE 1999]
  A)
              \[S=ut+\frac{1}{2}f{{t}^{2}}\]     done clear
  B)
              \[S=(u+f)\ t\] done clear
  C)
              \[S={{v}^{2}}-2fs\] done clear
  D)
              None of these done clear
  View Solution play_arrow

• question_answer49)
  Two cars A and B at rest at same point initially. If A starts with uniform velocity of 40 m/sec and B starts in the same direction with constant acceleration of \[4\,m/{{s}^{2}}\], then B will catch A after how much time                         [RPET 1999]
  A)
              10 sec  done clear
  B)
              20 sec done clear
  C)
              30 sec  done clear
  D)
              35 sec done clear
  View Solution play_arrow

• question_answer50)
  The motion of a particle is described by the equation \[x=a+b{{t}^{2}}\] where \[a=15\] cm and \[b=3\] cm/s2. Its instantaneous velocity at time 3 sec will be [AMU (Med.) 2000]
  A)
              36 cm/sec        done clear
  B)
              18 cm/sec done clear
  C)
              16 cm/sec        done clear
  D)
              32 cm/sec done clear
  View Solution play_arrow

• question_answer51)
  A body travels for 15 sec starting from rest with constant acceleration. If it travels distances \[{{S}_{1}},\ {{S}_{2}}\] and \[{{S}_{3}}\] in the first five seconds, second five seconds and next five seconds respectively the relation between \[{{S}_{1}},\ {{S}_{2}}\] and \[{{S}_{3}}\] is                     [AMU (Engg.) 2000]
  A)
              \[{{S}_{1}}={{S}_{2}}={{S}_{3}}\]      done clear
  B)
              \[5{{S}_{1}}=3{{S}_{2}}={{S}_{3}}\] done clear
  C)
              \[{{S}_{1}}=\frac{1}{3}{{S}_{2}}=\frac{1}{5}{{S}_{3}}\]    done clear
  D)
              \[{{S}_{1}}=\frac{1}{5}{{S}_{2}}=\frac{1}{3}{{S}_{3}}\] done clear
  View Solution play_arrow

• question_answer52)
  A body is moving according to the equation \[x=at+b{{t}^{2}}-c{{t}^{3}}\] where \[x=\] displacement and \[a,\ b\] and \[c\] are constants. The acceleration of the body is                       [BHU 2000]
  A)
              \[a+2bt\]         done clear
  B)
              \[2b+6ct\] done clear
  C)
              \[2b-6ct\] done clear
  D)
                       \[3b-6c{{t}^{2}}\] done clear
  View Solution play_arrow

• question_answer53)
  A particle travels 10m in first 5 sec and 10m in next 3 sec. Assuming constant acceleration what is the distance travelled in next 2 sec                                                               [RPET 2000]
  A)
              8.3 m   done clear
  B)
              9.3 m done clear
  C)
              10.3 m done clear
  D)
              None of above done clear
  View Solution play_arrow

• question_answer54)
  The distance travelled by a particle is proportional to the squares of time, then the particle travels with                              [RPET 1999; RPMT 2000]
  A)
              Uniform acceleration done clear
  B)
              Uniform velocity done clear
  C)
              Increasing acceleration            done clear
  D)
              Decreasing velocity done clear
  View Solution play_arrow

• question_answer55)
  Acceleration of a particle changes when          [RPMT 2000]
  A)
              Direction of velocity changes done clear
  B)
              Magnitude of velocity changes done clear
  C)
              Both of above done clear
  D)
              Speed changes done clear
  View Solution play_arrow

• question_answer56)
  The motion of a particle is described by the equation \[u=at\]. The distance travelled by the particle in the first 4 seconds                                                                                                                        [DCE 2000]
  A)
              \[4a\]    done clear
  B)
              \[12a\] done clear
  C)
              \[6a\]    done clear
  D)
              \[8a\] done clear
  View Solution play_arrow

• question_answer57)
  The relation \[3t=\sqrt{3x}+6\] describes the displacement of a particle in one direction where \[x\] is in metres and \[t\] in sec. The displacement, when velocity is zero, is     [CPMT 2000]
  A)
              24 metres         done clear
  B)
              12 metres done clear
  C)
              5 metres           done clear
  D)
              Zero done clear
  View Solution play_arrow

• question_answer58)
  A constant force acts on a body of mass 0.9 kg at rest for 10s. If the body moves a distance of 250 m, the magnitude of the force is                           [EAMCET (Engg.) 2000]
  A)
              \[3N\]   done clear
  B)
              \[3.5N\] done clear
  C)
              \[4.0N\]            done clear
  D)
              \[4.5N\] done clear
  View Solution play_arrow

• question_answer59)
  The average velocity of a body moving with uniform acceleration travelling a distance of 3.06 m is 0.34 ms?1. If the change in velocity of the body is 0.18ms?1 during this time, its uniform acceleration is         [EAMCET (Med.) 2000]
  A)
              0.01 ms?2         done clear
  B)
              0.02 ms?2 done clear
  C)
              0.03 ms?2         done clear
  D)
              0.04 ms?2 done clear
  View Solution play_arrow

• question_answer60)
  Equation of displacement for any particle is \[s=3{{t}^{3}}+7{{t}^{2}}+14t+8m\]. Its acceleration at time \[t=1\] sec is [CBSE PMT 2000]
  A)
              10 m/s2            done clear
  B)
              16 m/s2 done clear
  C)
              25 m/s2            done clear
  D)
              32 m/s2 done clear
  View Solution play_arrow

• question_answer61)
  The position of a particle moving along the x-axis at certain times is given below :

  t (s)	0	1	2	3
  x (m)	?2	0	6	16

  Which of the following describes the motion correctly [AMU (Engg.) 2001]
  A)
              Uniform, accelerated done clear
  B)
              Uniform, decelerated done clear
  C)
              Non-uniform, accelerated done clear
  D)
              There is not enough data for generalization done clear
  View Solution play_arrow

• question_answer62)
  Consider the acceleration, velocity and displacement of a tennis ball as it falls to the ground and bounces back. Directions of which of these changes in the process                [AMU (Engg.) 2001]
  A)
              Velocity only    done clear
  B)
              Displacement and velocity done clear
  C)
              Acceleration, velocity and displacement done clear
  D)
              Displacement and acceleration done clear
  View Solution play_arrow

• question_answer63)
  The displacement of a particle, moving in a straight line, is given by \[s=2{{t}^{2}}+2t+4\] where \[s\] is in metres and \[t\] in seconds. The acceleration of the particle is             [CPMT 2001]
  A)
              2 m/s2  done clear
  B)
              4 m/s2 done clear
  C)
              6 m/s2  done clear
  D)
              8 m/s2 done clear
  View Solution play_arrow

• question_answer64)
  The velocity of a bullet is reduced from 200m/s to 100m/s while travelling through a wooden block of thickness 10cm. The retardation, assuming it to be uniform, will be              [AIIMS 2001]
  A)
              \[10\times {{10}^{4}}\] m/s2            done clear
  B)
              \[12\times {{10}^{4}}\] m/s2 done clear
  C)
              \[13.5\times {{10}^{4}}\] m/s2         done clear
  D)
              \[15\times {{10}^{4}}\] m/s2 done clear
  View Solution play_arrow

• question_answer65)
  A body of 5 kg is moving with a velocity of 20 m/s. If a force of 100N is applied on it for 10s in the same direction as its velocity, what will now be the velocity of the body                                    [MP PMT 2000; RPET 2001]
  A)
              200 m/s           done clear
  B)
              220 m/s done clear
  C)
              240 m/s done clear
  D)
                       260 m/s done clear
  View Solution play_arrow

• question_answer66)
  A particle starts from rest, accelerates at 2 m/s2 for 10s and then goes for constant speed for 30s and then decelerates at 4 m/s2 till it stops. What is the distance travelled by it                             [DCE 2001; AIIMS 2002; DCE 2003]
  A)
              750 m done clear
  B)
              800 m done clear
  C)
              700 m done clear
  D)
                       850 m done clear
  View Solution play_arrow

• question_answer67)
  The engine of a motorcycle can produce a maximum acceleration 5 m/s2. Its brakes can produce a maximum retardation 10 m/s2. What is the minimum time in which it can cover a distance of 1.5 km                [Pb. PMT 2002]
  A)
   30 sec done clear
  B)
              15 sec done clear
  C)
              10 sec  done clear
  D)
              5 sec done clear
  View Solution play_arrow

• question_answer68)
  The path of a particle moving under the influence of a force fixed in magnitude and direction is [MP PET 2002]
  A)
              Straight line     done clear
  B)
              Circle done clear
  C)
              Parabola          done clear
  D)
              Ellipse done clear
  View Solution play_arrow

• question_answer69)
  A car, moving with a speed of 50 km/hr, can be stopped by brakes after at least 6m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is [AIEEE 2003]
  A)
              6m       done clear
  B)
              12m done clear
  C)
              18m     done clear
  D)
              24m done clear
  View Solution play_arrow

• question_answer70)
  A student is standing at a distance of 50metres from the bus. As soon as the bus begins its motion with an acceleration of 1ms?2, the student starts running towards the bus with a uniform velocity \[u\]. Assuming the motion to be along a straight road, the minimum value of \[u\], so that the student is able to catch the bus is             [KCET 2003]
  A)
              5 ms?1  done clear
  B)
              8 ms?1 done clear
  C)
              10 ms?1            done clear
  D)
              12 ms?1 done clear
  View Solution play_arrow

• question_answer71)
  A body A moves with a uniform acceleration \[a\] and zero initial velocity. Another body B, starts from the same point moves in the same direction with a constant velocity \[v\]. The two bodies meet after a time \[t\]. The value of \[t\] is                                                                       [MP PET 2003]
  A)
              \[\frac{2v}{a}\]           done clear
  B)
              \[\frac{v}{a}\] done clear
  C)
              \[\frac{v}{2a}\]           done clear
  D)
              \[\sqrt{\frac{v}{2a}}\] done clear
  View Solution play_arrow

• question_answer72)
  A particle moves along X-axis in such a way that its coordinate X varies with time \[t\] according to the equation \[x=(2-5t+6{{t}^{2}})\,m\]. The initial velocity of the particle is  [MNR 1987; MP PET 1996; Pb. PET 2004]
  A)
              \[-5\,m/s\] done clear
  B)
              \[6\,m/s\] done clear
  C)
              \[-3\,m/s\]         done clear
  D)
              \[3\,m/s\] done clear
  View Solution play_arrow

• question_answer73)
  A car starts from rest and moves with uniform acceleration a on a straight road from time t = 0 to t = T. After that, a constant deceleration brings it to rest. In this process the average speed of the car is                                   [MP PMT 2004]
  A)
               \[\frac{aT}{4}\]                     done clear
  B)
                          \[\frac{3aT}{2}\]             done clear
  C)
                                   \[\frac{aT}{2}\] done clear
  D)
                                   \[aT\] done clear
  View Solution play_arrow

• question_answer74)
  An object accelerates from rest to a velocity 27.5 m/s in 10 sec then find distance covered by object in next 10 sec                                     [BCECE 2004]            
  A)
               550 m             done clear
  B)
                                   137.5 m             done clear
  C)
                          412.5 m           done clear
  D)
                                   275 m done clear
  View Solution play_arrow

• question_answer75)
  If the velocity of a particle is given by \[v={{(180-16x)}^{1/2}}\] m/s, then its acceleration will be             [J & K CET 2004]            
  A)
               Zero                done clear
  B)
                          8 m/s2                 done clear
  C)
                          ? 8 m/s2                       done clear
  D)
                                   4 m/s2 done clear
  View Solution play_arrow

• question_answer76)
  The displacement of a particle is proportional to the cube of time elapsed. How does the acceleration of the particle depends on time obtained                                [Pb. PET 2001]
  A)
                          \[a\propto {{t}^{2}}\]                       done clear
  B)
                          \[a\propto 2t\]             done clear
  C)
                          \[a\propto {{t}^{3}}\]                       done clear
  D)
                                   \[a\propto t\]             done clear
  View Solution play_arrow

• question_answer77)
  Starting from rest, acceleration of a particle is \[a=2(t-1).\] The velocity of the particle at \[t=5s\] is  [RPET 2002]
  A)
               15 m/sec                     done clear
  B)
                          25 m/sec             done clear
  C)
                          5 m/sec                        done clear
  D)
                                   None of these done clear
  View Solution play_arrow

• question_answer78)
  A body is moving with uniform acceleration describes 40 m in the first 5 sec and 65 m in next 5 sec. Its initial velocity will be                         [Pb. PET 2003]
  A)
               4 m/s              done clear
  B)
                          2.5 m/s             done clear
  C)
                          5.5 m/s             done clear
  D)
                                   11 m/s done clear
  View Solution play_arrow

• question_answer79)
  Speed of two identical cars are \[u\] and \[4u\] at a specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is    [AIEEE 2002]
  A)
            1 : 1   done clear
  B)
            1 : 4 done clear
  C)
            1 : 8   done clear
  D)
            1 : 16 done clear
  View Solution play_arrow

• question_answer80)
  The displacement \[x\] of a particle varies with time \[t,x=a{{e}^{-\alpha t}}+b{{e}^{\beta t}}\], where \[a,\,b,\,\alpha \,\text{and }\beta \]are positive constants. The velocity of the particle will        [CBSE PMT 2005]            
  A)
                          Go on decreasing with time                 done clear
  B)
                          Be independent of \[\alpha \] and \[\beta \]             done clear
  C)
                        Drop to zero when \[\alpha =\beta \]               done clear
  D)
                          Go on increasing with time             done clear
  View Solution play_arrow

• question_answer81)
  A car, starting from rest, accelerates at the rate f through a distance S, then continues at constant speed for time t and then decelerates at the rate \[\frac{f}{2}\] to come to rest. If the total distance traversed is 15 S, then                 [AIEEE 2005]
  A)
                          \[S=\frac{1}{2}f{{t}^{2}}\]                       done clear
  B)
                                   \[S=\frac{1}{4}f{{t}^{2}}\]             done clear
  C)
                                   \[S=\frac{1}{72}f{{t}^{2}}\]             done clear
  D)
                                   \[S=\frac{1}{6}f{{t}^{2}}\] done clear
  View Solution play_arrow

• question_answer82)
  A man is 45 m behind the bus when the bus start accelerating from rest with acceleration 2.5 m/s2. With what minimum velocity should the man start running to catch the bus?                               [J&K CET 2005]
  A)
                          12 m/s             done clear
  B)
                          14 m/s             done clear
  C)
                          15 m/s             done clear
  D)
                          16 m/s done clear
  View Solution play_arrow

• question_answer83)
  A particle moves along x-axis as             \[x=4(t-2)+a{{(t-2)}^{2}}\]             Which of the following is true?                         [J&K CET 2005]            
  A)
                                   The initial velocity of particle is 4                     done clear
  B)
                          The acceleration of particle is 2a             done clear
  C)
                        The particle is at origin at t = 0                       done clear
  D)
                          None of these done clear
  View Solution play_arrow

• question_answer84)
  A body starting from rest moves with constant acceleration. The ratio of distance covered by the body during the 5th sec to that covered in 5 sec is                                [Kerala PET 2005]
  A)
                          9/25                 done clear
  B)
                          3/5             done clear
  C)
                        25/9                 done clear
  D)
                                   1/25 done clear
  View Solution play_arrow

• question_answer85)
  What determines the nature of the path followed by the particle                                  [AFMC 2005]
  A)
                          Speed              done clear
  B)
                          Velocity             done clear
  C)
                          Acceleration                 done clear
  D)
                                   None of these             done clear
  View Solution play_arrow