9th Class Science Time and Motion Question Bank

done Motion IIT JEE Objective Problems Total Questions - 22

• question_answer1)
  A body projected vertically upwards crosses a point twice its journey at a height h just after \[{{t}_{1}}\]and \[{{t}_{2}}\]seconds. Maximum height reached by the body is
  A)
   \[\frac{g}{4}{{({{t}_{1}}+{{t}_{2}})}^{2}}\]                            done clear
  B)
   \[g{{\left( \frac{{{t}_{1}}+{{t}_{2}}}{4} \right)}^{2}}\] done clear
  C)
   \[2g{{\left( \frac{{{t}_{1}}+{{t}_{2}}}{4} \right)}^{2}}\]                    done clear
  D)
   \[\frac{g}{4}({{t}_{1}}{{t}_{2}})\] done clear
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• question_answer2)
  A car moving with a speed of 50 km/hr can be stopped by brakes after at least 6 m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is
  A)
   12 m                     done clear
  B)
   18 m done clear
  C)
   24 m     done clear
  D)
   6 m done clear
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• question_answer3)
  The initial velocity of a particle\[\overrightarrow{u}=\overrightarrow{4i}+\overrightarrow{3j}\]It is moving with uniform acceleration\[\overrightarrow{a}=0.\overrightarrow{4i}+0.\overrightarrow{3}j\] Its velocity after 10 seconds is
  A)
   3 Units                                 done clear
  B)
   4 units done clear
  C)
   5 units                  done clear
  D)
   10 units done clear
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• question_answer4)
  A starts from rest and moves with acceleration\[{{a}_{1}}\]. Two seconds later, B starts from rest and moves with an acceleration\[{{a}_{2}}\]. If the displacement of A in the\[{{5}^{\text{th}}}\]second is the same as that of B in the same interval, the ratio of\[{{a}_{1}}\]to\[{{a}_{2}}\]is
  A)
   9 : 5                                       done clear
  B)
   5 : 9 done clear
  C)
   1 : 1                                       done clear
  D)
   1 : 3 done clear
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• question_answer5)
  The velocity time graphs of a body is as shown. The displacement suffered by it is
  A)
   300 m                   done clear
  B)
   400 m done clear
  C)
   250 m   done clear
  D)
   200 m done clear
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• question_answer6)
  A body travels 200 cm in the first two seconds and 220 cm in the next 4 seconds with deceleration. The velocity of the body at the end of the 7th second is
  A)
   20 cm/s               done clear
  B)
   15 cm/s done clear
  C)
   10 cm/s                               done clear
  D)
   0 cm/s done clear
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• question_answer7)
  A particle starts moving from rest under uniform acceleration. It travels a distance x in the first two seconds and a distance y in the next two seconds. If y = nx, then n=..........
  A)
   1                                             done clear
  B)
   2    done clear
  C)
   3                             done clear
  D)
   4 done clear
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• question_answer8)
  Initial velocity of a particle moving along a straight line is 10 m/s and its retardation is\[\text{2 m}/{{\text{s}}^{\text{2}}}\]. Distance covered by the particle in the fifth second of its motion is
  A)
   1 m   done clear
  B)
   19 m done clear
  C)
   50 m                     done clear
  D)
   75 m done clear
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• question_answer9)
  A particle starts moving from the position of rest under a constant acceleration. It travels a distance 'x' in the first 10s, a distance 'y' in the next 10s then
  A)
   \[y=3x\]                              done clear
  B)
   \[y=2x\] done clear
  C)
   \[y=x\]                done clear
  D)
   \[y=4x\] done clear
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• question_answer10)
  Tripling the speed of a motor car multiples the distance needed for stopping it by
  A)
   3                                             done clear
  B)
   6 done clear
  C)
   9                             done clear
  D)
   Some other number done clear
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• question_answer11)
  A bus accelerates uniformly from rest and acquires a speed of 75 km/hr in 20 seconds. The acceleration of the bus is
  A)
   \[\text{1}0\text{m}/{{\text{s}}^{\text{2}}}\]                     done clear
  B)
  \[\text{5m}/{{\text{s}}^{\text{2}}}\] done clear
  C)
  \[\text{2m}/{{\text{s}}^{\text{2}}}\]                      done clear
  D)
   \[\text{1m}/{{\text{s}}^{\text{2}}}\] done clear
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• question_answer12)
  If a body looses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest
  A)
   1 cm      done clear
  B)
   2 cm done clear
  C)
   3 cm                      done clear
  D)
   4 cm done clear
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• question_answer13)
  A motorist travels from A to B at a speed of 40 kmph and returns back at a speed of 60 kmph. H is average speed will be
  A)
   40 kmph                              done clear
  B)
   48 kmph done clear
  C)
   50 kmph                              done clear
  D)
   60 kmph done clear
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• question_answer14)
  A point moves with uniform acceleration\[{{v}_{1}},{{v}_{2}}\]and\[{{v}_{3}}\]. Denote the average velocities in three successive intervals of time\[{{t}_{1}},{{t}_{2}}\]and\[{{t}_{3}}\].Correct relation among the following is
  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)
   \[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}-{{t}_{2}}):({{t}_{2}}+{{t}_{3}})\] done clear
  D)
   \[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}+{{t}_{2}}):({{t}_{2}}-{{t}_{3}})\] done clear
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• question_answer15)
  A car moving at a speed of 20 m/s undergoes uniform retardation of\[\text{5 m}/{{\text{s}}^{\text{2}}}\]. It stops in a time of
  A)
   100s                      done clear
  B)
   4s    done clear
  C)
   3s                                           done clear
  D)
   5s done clear
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• question_answer16)
  A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q separated by a certain distance with velocity of 30 kmph and 40 kmph respectively. Velocity of the car, exactly midway between P and Q, is
  A)
   33.3 kmph          done clear
  B)
   20 kmph done clear
  C)
   25 kmph              done clear
  D)
   35 kmph done clear
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• question_answer17)
  A car travelling at a speed of 30 kmph is brought to rest in 8m by applying brakes. If the same car is travelling at 60 kmph, it can be brought to a halt with the same braking force in a distance of:
  A)
   8 m                        done clear
  B)
   16 m done clear
  C)
   24 m                     done clear
  D)
   32 m done clear
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• question_answer18)
  If a body loses half of its velocity on penetrating 3cm in a wooden block, how much will it penetrate more before coming to rest?
  A)
   1 cm done clear
  B)
   2 cm done clear
  C)
   3 cm                      done clear
  D)
   4 cm done clear
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• question_answer19)
  Speeds 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
  A)
   1 : 1                       done clear
  B)
   1 : 4    done clear
  C)
   1 : 8                       done clear
  D)
   1 : 16 done clear
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• question_answer20)
  A car moving with a speed of 50 km/hr can be stopped by brakes after at least 6 m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is
  A)
   12 m                     done clear
  B)
   18 m  done clear
  C)
   24 m     done clear
  D)
   6 m done clear
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• question_answer21)
  The distances travelled by a body, starting from rest and travelling with uniform acceleration in successive intervals of time of equal duration, will be in the ratio of
  A)
   1 : 2 : 3                                 done clear
  B)
   1 : 2 : 4   done clear
  C)
   1 : 3 : 5                                 done clear
  D)
   1 : 4 : 9 done clear
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• question_answer22)
  A bus accelerates uniformly from rest and acquires a speed of 36 kmph in 10s. The acceleration is
  A)
   \[\text{1 m}/{{\text{s}}^{\text{2}}}\]    done clear
  B)
   \[\text{2 m}/{{\text{s}}^{\text{2}}}\] done clear
  C)
   \[\text{1}/\text{2 m}/{{\text{s}}^{\text{2}}}\]                                  done clear
  D)
   \[\text{3 m}/{{\text{s}}^{\text{2}}}\] done clear
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