Practice Test


1) The distances transversed, during equal intervals of time, by a body falling from rest, stand to one another in the same ratio as


2) Mark the wrong statement in the following for one dimensional motion


3) Mark the incorrect statement in the following


4) A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward followed again by 5 steps forward and 3 steps backward and so on. Each step is 1 m long and requires 1 s. The time the drunkard takes to fall in a pit 13 m away is


5) Mark the true statement
A particle in one - dimensional motion


6) Which one of the following equations represents the motion of a body with finite constant acceleration? In these equations, y denotes the displacement of the body at time t and a, b and c are constants of motion.


7) A pebble is dropped into a well of depth h. The splash is heard after time t. If c be the velocity of sound, then


8) Which of the following curves represents the v-t graph of an object falling a metallic surface and bouncing back?


9) Which one of the following represents the time-displacement graph of two objects P and Q moving with zero relative speed?


10) Which of the following represents uniform speed?


11) From a high tower at time t = 0, one stone is dropped from rest and simultaneously another stone is projected vertically up with an initial velocity. The graph of the distance 's' between the two stones, before either hits the ground, plotted against time 't' will as


12) A particle starting from rest with uniform acceleration travels a distance x in first 2 seconds and a distance y in next 2 second, then


13) Statement 1 : For straight line motion, the velocity and acceleration of an object are always along the same straight line.
Statement 2 : Only the magnitude of velocity changes due to acceleration in straight line motion.


14) Statement 1 : The magnitude of average velocity is the same as the average speed.
Statement 2 : The magnitude of instantaneous velocity is the magnitude of instantaneous speed.


15) Displacement of the particle in time t is


16) Velocity of particle at t = 0 is


17) Acceleration of particle at t = 0


18) P, Q and R are three balloons ascending with velocities u, 4u and 8u respectively. If stones of the same mass be dropped from each, when they are at the same height then


19) Which of the following graphs represents the distance-time variation of a body released from the top of a building?


20) A particle starts from rest and moves along a straight line with constant acceleration. The variation of velocity v with displacement s is


21) Which of the following represents an impossible situation?


22) A body released from the top of a tower falls through half the height of the tower in 2 s. In what time shall the body fall through the height of the tower?


23) Two bodies begin a free fall from the same height at a time interval of N s. If vertical separation between the two bodies is 1 after n second from the start of the first body, then n is equal to


24) Statement 1 : When velocity is zero, acceleration is zero.
Statement 2 : Rate of change of velocity is acceleration.


25) Statement 1 : If a = -2 t for a particle moving in a straight line starting with an initial velocity 4 m/s from the origin, then distance traveled by it in 2 seconds is same as displacement.
Statement 2 : Velocity changes direction after 2 s only.


26) Velocity versus time graph is


27) Acceleration versus time graph is


28) Velocity versus position graph is (taking origin on ground)


29) A Body moves 6 m north. 8 m east and 10m vertically upwards, what is its resultant displacement from initial position


30) A man goes 10m towards North, then 20m towards east then displacement is


31) An aeroplane flies 400 m north and 300 m south and then flies 1200 m upwards then net displacement is


32) An athlete completes one round of a circular track of radius R in 40 sec. What will be his displacement at the end of 2 min. 20 sec


33) A wheel of radius 1 meter rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially in contact with the ground is


34) A person travels along a straight road for half the distance with velocity and the remaining half distance with velocity The average velocity is given by


35) A car travels from A to B at a speed of and returns at a speed of . The average speed of the car for the whole journey is


36) A boy walks to his school at a distance of 6 km with constant speed of 2.5 km / hour and walks back with a constant speed of 4 km / hr. His average speed for round trip expressed in km / hour, is


37) A car travels the first half of a distance between two places at a speed of 30 km/hr and the second half of the distance at 50 km/hr. The average speed of the car for the whole


38) One car moving on a straight road covers one third of the distance with 20 km/hr and the rest with 60 km/hr. The average speed is


39) A car moves for half of its time at 80 km/h and for rest half of time at 40 km/h. Total distance covered is 60 km. What is the average speed of the car


40) A train has a speed of 60 km/h. for the first one hour and 40 km/h for the next half hour. Its average speed in km/h is


41) Which of the following is a one dimensional motion


42) A 150 m long train is moving with a uniform velocity of 45 km/h. The time taken by the train to cross a bridge of length 850 meters is


43) A particle is constrained to move on a straight line path. It returns to the starting point after 10 sec. The total distance covered by the particles during this time is 30. Which of the followi9ng statements about the motion of the particle is false.


44) A particle moves along a semicircle of radius 10m in 5 seconds.The average velocity of the particle is


45) A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km/h. Finding the market closed, he instantly turns and walk back home with a speed of 7.6km/h. The average of the man over the interval of time 0 to 40 min is equal to.


46) The ratio of the numerical values of the average velocity and average speed of a body is always.


47) The numerical ratio of displacement to the distance covered is always


48) A100m long train is moving with a uniform velocity of 45 km/hr. The time taken by the train to cross a bridge of length 1 km is


49) A particle moves for 20 seconds with velocity 3 m/s and the velocity 4 m/s for another 20 seconds and finally moves with velocity 5 m/s for next 20 seconds. What is the average velocity of the particle


50) The correct statement from the following is


51) A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?


52) A Car travels half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity of 60 kmph. The average velocity of the car in kmph is


53) 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


54) The instantaneous velocity of a body can be measured


55) A body under the action of several forces will have zero acceleration


56) The acceleration of a moving body can be found from


57) The initial velocity of a particle is u (at t =0) and the acceleration f is given by at. Which of the following relation is valid


58) 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


59) A particle starting from rest travels a distance x in first 2 seconds and a distance y in next two seconds, then


60) Which of the following four statements is false


61) 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


62) 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


63) A body of mass 10 kg is moving with a constant velocity of 10m/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


64) 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


65) 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


66) 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


67) 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


68) 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


69) A body starts from rest. What is the ratio of the distance travelled by the body during the 4th and 3rd second


70) For a moving body at any instant of time


71) If a car at rest accelerates uniformly to a speed of 144 km/h in 20 s. Then it covers a distance of


72) A truck and a car are moving with equal velocity. On applying the brakes both will stop after certain distance, then


73) If a train travelling at 72 kmph is to be brought to rest in a distance of 200 metres, then its retardation should be


74) What is the relation between displacement, time and acceleration in case of a body having uniform acceleration


75) 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


76) The distance travelled by a particle is proportional to the squares of time, then the particle travels with


77) Acceleration of a particle changes when


78) 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


79) 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


80) 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


81) 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


82) The path of a particle moving under the influence of a force fixed in magnitude and direction is


83) 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


84) The displacement of a particle is proportional to the cube of time elapsed. How does the acceleration of the particle depends on time obtained


85) 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


86) 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


87) What determines the nature of the path followed by the particle


88) A boat moves with a speed of 5 km/h relative to water in a river flowing with a speed of 3 km/h and having a width of 1 km. The minimum time taken around a round trip is


89) For a body moving with relativistic speed, if the velocity is doubled, then


90) A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is


91) A body falls freely from rest. It covers as much distance in the last second of its motion as covered in the first three seconds. The body has fallen for a time of


92) A stone is dropped into water from a bridge above the water. Another stone is thrown vertically downward 1 sec later. Both strike the water simultaneously. What was the initial speed of the second stone


93) An iron ball and a wooden ball of the same radius are released from the same height in vacuum. They take the same time to reach the ground. The reason for this is


94) A body is thrown vertically upwards. If air resistance is to be taken into account, then the time during which the body rises is


95) A ball P is dropped vertically and another ball Q is thrown horizontally with the same velocities from the same height and at the same time. If air resistance is neglected, then


96) A body is released from a great height and falls freely towards the earth. Another body is released from the same height exactly one second later. The separation between the two bodies, two seconds after the release of the second body is


97) A stone dropped from the top of the tower touches the ground in 4 sec. The height of the tower is about


98) Two stones of different masses are dropped simultaneously from the top of a building


99) A stone is dropped from a certain height which can reach the ground in 5 second. If the stone is stopped after 3 second of its fall and then allowed to fall again, then the time taken by the stone to reach the ground for the remaining distance is


100) Water drops fall at regular intervals from a tap which is 5m above the ground. The third drop is leaving the tap at the instant the first drop touches the ground. How far above the ground is the second drop at that instant


101) A body starts to fall freely under gravity. The distances covered by it in first, second and third second are in ratio


102) A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the top


103) A ball is dropped downwards. After 1 second another ball is dropped downwards from the same point. What is the distance between them after 3 seconds


104) A stone is thrown with an initial speed of 4.9 m/s from a bridge in vertically upward direction. It falls down in water after 2 sec. The height of the bridge is


105) A stone is shot straight upward with a speed of 20 m/sec from a tower 200 m high. The speed with which it strikes the ground is approximately


106) A body freely falling from the rest has a velocity ‘v’ after it falls through a height ‘h’. The distance it has to fall down for its velocity to become double, is


107) Velocity of a body on reaching the point from which it was projected upwards, is


108) A body is thrown vertically up from the ground. It reaches a maximum height of 100m in 5sec. After what time it will reach the ground from the maximum height position


109) A body thrown vertically upwards with an initial velocity reaches maximum height in 6 seconds. The ratio of the distances travelled by the body in the first second and the seventh second is


110) A body, thrown upwards with some velocity, reaches the maximum height of 20m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height of


111) A particle when thrown, moves such that it passes from same height at 2 and 10s, the height is


112) Two balls A and B of same masses are thrown from the top of the building. A, thrown upward with velocity V and B, thrown downward with velocity V, then


113) A body falls from a height h = 200m (at New Delhi). The ratio of distance travelled in each 2 sec during t = 0 to t = 6 second of the journey is


114) Two balls are dropped from heights h and 2h respectively from the earth surface. The ratio of time of these balls to reach the earth is


115) The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2m on the surface of A. What is the height of jump by the same person on the planet B


116) A ball is released from the top of a tower of height h meters. It takes T seconds to reach the ground. What is the position of the ball in T/3 seconds


117) Two balls of same size but the density of one is greater than that of the other are dropped from the same height, then which ball will reach the earth first (air resistance is negligible)


118) If a freely falling body travels in the last second a distance equal to the distance travelled by it in the first three second, the time of the travel is


119) The effective acceleration of a body, when thrown upwards with acceleration a will be :


120) A body, thrown upwards with some velocity reaches the maximum height of 50 m. Another body with double the mass thrown up with double the initial velocity will reach a maximum height of


121) From the top of a tower two stones, whose masses are in the ratio 1 : 2 are thrown one straight up with an initial speed u and the second straight down with the same speed u. Then, neglecting air resistance


122) An object start sliding on a frictionless inclined plane and from same height another object start falling freely


123) A ball is projected upwards from a height above the surface of the earth with velocity . The time at which the ball strikes the ground is


124) A particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of 1 m each will then be


125) If a ball is thrown vertically upwards with speed , the distance covered during the last t seconds of its ascent is


126) Velocity-time curve for a body projected vertically upwards is


127) Which of the following graph represents uniform motion


128) The area under acceleration-time graph gives


129) A ball is thrown vertically upwards. Which of the following plots represents the speed-time graph of the ball during its height if the air resistance is not ignored


130) Which graph represents the uniform acceleration


131) Which of the following velocity-time graphs shows a realistic situation for a body in motion


132) Which of the following velocity-time graphs represent uniform motion


133) Assertion : A body can have acceleration even if its velocity is zero at a given instant of time.
Reason :A body is momentarily at rest when it reverses its direction of motion.


134) Assertion : Two balls of different masses are thrown vertically upward with same speed. They will pass through their point of projection in the downward direction with the same speed.
Reason : The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball.


135) Assertion :If the displacement of the body is zero, the distance covered by it may not be zero.
Reason :Displacement is a vector quantity and distance is a scalar quantity.


136) Assertion : The average velocity of the object over an interval of time is either smaller than or equal to the average speed of the object over the same interval.
Reason :Velocity is a vector quantity and speed is a scalar quantity.


137) Assertion : An object can have constant speed but variable velocity.
Reason :Speed is a scalar but velocity is a vector quantity.


138) Assertion : The speed of a body can be negative.
Reason :If the body is moving in the opposite direction of positive motion, then its speed is negative.


139) Assertion : The position-time graph of a uniform motion in one dimension of a body can have negative slope.
Reason :When the speed of body decreases with time, the position-time graph of the moving body has negative slope.


140) Assertion : A positive acceleration of a body can be associated with a ‘slowing down’ of the body.
Reason :Acceleration is a vector quantity.


141) Assertion : A negative acceleration of a body can be associated with a ‘speeding up’ of the body.
Reason :Increase in speed of a moving body is independent of its direction of motion.


142) Assertion : When a body is subjected to a uniform acceleration, it always move in a straight line.
Reason :Straight line motion is the natural tendency of the body.


143) Assertion :Rocket in flight is not an illustration of projectile.
Reason :Rocket takes flight due to combustion of fuel and does not move under the gravity effect alone.


144) Assertion : The average speed of a body over a given interval of time is equal to the average velocity of the body in the same interval of time if a body moves in a straight line in one direction.
Reason :Because in this case distance travelled by a body is equal to the displacement of the body.


145) Assertion : The average speed of a body over a given interval of time is equal to the average velocity of the body in the same interval of time if a body moves in a straight line in one direction.
Reason :Because in this case distance travelled by a body is equal to the displacement of the body.


146) Assertion : Position-time graph of a stationary object is a straight line parallel to time axis.
Reason :For a stationary object, position does not change with time.


147) Assertion : The slope of displacement-time graph of a body moving with high velocity is steeper than the slope of displacement-time graph of a body with low velocity.
Reason :Slope of displacement-time graph = Velocity of the body.


148) Assertion : Distance-time graph of the motion of a body having uniformly accelerated motion is a straight line inclined to the time axis.
Reason :Distance travelled by a body having uniformly accelerated motion is directly proportional to the square of the time taken.


149) Assertion : A body having non-zero acceleration can have a constant velocity.
Reason :Acceleration is the rate of change of velocity.


150) Assertion : A body, whatever its motion is always at rest in a frame of reference which is fixed to the body itself.
Reason :The relative velocity of a body with respect to itself is zero.


151) Assertion : Displacement of a body may be zero when distance travelled by it is not zero.
Reason :The displacement is the longest distance between initial and final position.


152) .Assertion : The equation of motion can be applied only if acceleration is along the direction of velocity and is constant.
Reason :If the acceleration of a body is constant then its motion is known as uniform motion.


153) Assertion : A bus moving due north takes a turn and starts moving towards east with same speed. There will be no change in the velocity of bus.
Reason :Velocity is a vector-quantity.


154) Assertion : The relative velocity between any two bodies moving in opposite direction is equal to sum of the velocities of two bodies.
Reason :Sometimes relative velocity between two bodies is equal to difference in velocities of the two.


155) Assertion : The displacement-time graph of a body moving with uniform acceleration is a straight line.
Reason :The displacement is proportional to time for uniformly accelerated motion.


156) Assertion : Velocity-time graph for an object in uniform motion along a straight path is a straight line parallel to the time axis.
Reason :In uniform motion of an object velocity increases as the square of time elapsed.


157) Assertion : A body may be accelerated even when it is moving uniformly.
Reason :When direction of motion of the body is changing then body may have acceleration.


158) Assertion : A body falling freely may do so with constant velocity.
Reason :The body falls freely, when acceleration of a body is equal to acceleration due to gravity.


159) Assertion : Displacement of a body is vector sum of the area under velocity-time graph.
Reason :Displacement is a vector quantity.


160) Assertion : The position-time graph of a body moving uniformly is a straight line parallel to position-axis.
Reason :The slope of position-time graph in a uniform motion gives the velocity of an object.


161) Assertion : The average speed of an object may be equal to arithmetic mean of individual speed.
Reason :Average speed is equal to total distance travelled per total time taken.


162) Assertion : The average and instantaneous velocities have same value in a uniform motion.
Reason :In uniform motion, the velocity of an object increases uniformly.


163) Assertion : The speedometer of an automobile measure the average speed of the automobile.
Reason :Average velocity is equal to total displacement per total time taken.