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Motion in One Dimension — NEET UG Physics PYQs

352 previous year questions from Motion in One Dimension with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

352 questionsPhysicsSolutions on every page
1

A vehicle runs on a straight road of length 'L'. It travels half the distance with speed V and the remaining distance with speed 3V 2 . Its average speed is

MHT CET Medical 2026 Solution View → 2

For uniform acceleration in linear motion which of the following is NOT CORRECT ?

MHT CET Medical 2026 Solution View → 3

Two cars, P and Q move toward each other, getting 8 m closer every second. If they move in the same direction, they get 0.6 m closer every second. If car P is faster than car Q the

MHT CET Medical 2026 Solution View → 4

A block is kept on the floor of an elevator at rest. The elevator starts descending with acceleration of 5 m/s ^2 . The displacement of the block during the first 0.2 s after the s

MHT CET Medical 2026 Solution View → 5

The acceleration ( a ) -time ( t ) graph for the body starting from rest is as shown in the figure. The maximum speed of the body is

MHT CET Medical 2026 Solution View → 6

A train accelerates from rest at a constant rate 'p' for some time (attains velocity 'v') and then retards to rest at the constant rate 'q'. If the total distance covered by the tr

MHT CET Medical 2026 Solution View → 7

The following plots show variation of velocity ( v ) with time ( t ), of a ball thrown vertically upward, and falling back. Which of the following plots is/are correct ?

NEET 2026 Solution View → 8

Consider a particle moving along a straight line, whose position as a function of time is given by s(t)= t^2- t+ , where =1 ms ⁻² , =6 ms ⁻¹ and =5 m. The average speed of the part

NEET 2026 Solution View → 9

When a ruler falls vertically, 5 different persons catch it with different reaction times. ( g = 9.8 m s ⁻² ) A. Person A has reaction time of 0.20 s. B. Person B has reaction time

NEET 2026 Solution View → 10

Two cities X and Y are connected by a regular bus service with a bus leaving in either direction every T min. A girl is driving scooty with a speed of 60 km / h in the direction X

NEET 2025 Solution View → 11

In some appropriate units, time (t) and position ( x ) relation of a moving particle is given by t=x^2+x . The acceleration of the particle is

NEET 2025 Solution View → 12

Two heaters A and B have power rating of 1 kW and 2 kW , respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outp

NEET 2024 Solution View → 13

A particle is moving along x -axis with its position (x) varying with time (t) as x= t^4+ t^2+ t+ . The ratio of its initial velocity to its initial acceleration, respectively, is:

NEET 2024 Solution View → 14

The velocity (v) - time (t) plot of the motion of a body is shown below: The acceleration (a) - time (t) graph that best suits this motion is :

NEET 2024 Solution View → 15

The position of a particle is given by r (t)=4 t i +2 t^2 j +5 k where t is in seconds and r in metre. Find the magnitude and direction of velocity v(t) , at t=1 ~s , with respect

NEET 2023 Solution View → 16

A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is :

NEET 2023 Solution View → 17

A vehicle travels half the distance with speed v and the remaining distance with speed 2 v . Its average speed is:

NEET 2023 Solution View → 18

A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity 4   m   s - 1 . The ball strikes the

NEET 2023 Solution View → 19

A bullet from a gun is fired on a rectangular wooden block with velocity u . When bullet travels 24   cm through the block along its length horizontally, velocity of bullet be

NEET 2023 Solution View → 20

The position-time (x-t) graph for positive acceleration is:

NEET 2022 Solution View → 21

The ratio of the distances travelled by a freely falling body in the 1 st   , 2 nd   , 3 rd   and 4 th   second

NEET 2022 Solution View → 22

The displacement-time graphs of two moving particles make angles of 30 ° and 45 ° with the x -axis as shown in the figure. The ratio of their respective velocity is:

NEET 2022 Solution View → 23

A small block slides down on a smooth inclined plane, starting from rest at time t = 0 . Let S n be the distance travelled by the block in the interval t = n - 1 to t = n . Then, t

NEET 2021 Solution View → 24

A car starts from rest and accelerates at 5   m   s - 2 ,   at   t = 4   s , a ball is dropped out of a window by a person sitting in the car. What is the

NEET 2021 Solution View → 25

Assertion : The relative velocity between any two bodies may be equal to sum of the velocities of two bodies. Reason : Sometimes, relative velocity between two bodies may be equal

AIIMS 2019 Solution View → 26

A body released from a great height falls freely towards the earth. Another body is released from the same height exactly a second later. Then the separation between two bodies, 2

AIIMS 2019 Solution View → 27

Find the average velocity when a particle complete the circle of radius 1 m in 10 sec .

JIPMER 2019 Solution View → 28

Speeds of a particle at 3rd and 8th sec are 20 ~m / s and zero respectively, then average acceleration between 3 rd and 8th sec will be

JIPMER 2019 Solution View → 29

A person standing on the floor of an elevator drops a coin. The coin reaches the floor in time t₁ if the elevator is at rest and in time t₂ if the elevator is moving uniformly. The

NEET 2019 Solution View → 30

A person travelling in a straight line moves with a constant velocity v ₁ for certain distance ' x ' and with a constant velocity v ₂ for next equal distance. The average velocity

NEET 2019 Solution View → 31

A particle is thrown vertically up with an initial velocity 9 ~m / s from the surface of Earth (take g=10 ~m / s ^2 ). The time (in s) taken by the particle to reach a height of 4

AIIMS 2018 Solution View → 32

A body starts from rest and travels a distance S with uniform acceleration, then moves uniformly a distance 2 S and finally comes to rest after moving further 5 S under uniform ret

AIIMS 2018 Solution View → 33

A boy stands on a weighing machine inside a lift. When the lift is going down with acceleration g / 4 , the machine shows a reading 30 kgf. When the lift goes upwards with accelera

AIIMS 2018 Solution View → 34

The displacement-time graphs of two moving particles make angles of 30^ and 45^ with the time axis. The ratio of their velocities is

AIIMS 2018 Solution View → 35

Assertion : For a given time interval, average velocity is single valued while average speed can have many values. Reason : Velocity is a vector quantity and speed is a scalar quan

AIIMS 2018 Solution View → 36

A runner starts from O and goes to O following path OQRO in lhr. What is net displacement and average speed?

JIPMER 2018 Solution View → 37

A ball is thrown upwards with a speed u from a height h above the ground. The time taken by the ball to hit the ground is

JIPMER 2018 Solution View → 38

Velocity is given by v=4 t(1-2 t) , then find time at which velocity is maximum

JIPMER 2018 Solution View → 39

A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric field E → . Due to the force   q E → , its veloc

NEET 2018 Solution View → 40

Assertion : If a=-2 t for a particle moving in a straight linestartingwithan initialvelocity 4 ~m / s from the origin, then distance travelled by it in 2 ~s is same as displacement

AIIMS 2017 Solution View → 41

A body is projected vertically upwards. The times corresponding to height h while ascending and while descending are t₁ and t₂ , respectively. Then, the velocity of projection will

JIPMER 2017 Solution View → 42

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t 1 . On other days, if she remains stationary on the

NEET 2017 Solution View → 43

The x and y coordinates of the particle at any time are x = 5 t - 2 t 2 and y = 10 t respectively, where x and y are in meters and t is in seconds. The acceleration of the particle

NEET 2017 Solution View → 44

A body moves from rest with a constant acceleration. Which one of the following graphs represents the variation of its kinetic energy K with the distance travelled (x) ?

AIIMS 2016 Solution View → 45

A man is at a distance of 6 ~m from a bus. The bus begins to move with a constant acceleration of 3 ~m ~s ⁻² . In order to catch the bus, the minimum speed with which the man shoul

AIIMS 2016 Solution View → 46

A ball is dropped from the top of a building 100 ~m high. At the same instant another ball is thrown upwards with a velocity of 40 ~m / s from the bottom of the building. The two b

AIIMS 2016 Solution View → 47

The displacement x of a particle varies with time t as x=a e^ - t +b e^ t , where a, b, and are positive constants. The velocity of the particle will

JIPMER 2016 Solution View → 48

Two cars P and Q start from a point at the same time in a straight line and their positions are represented by X P t = a t + b t 2 and X Q t = f t - t 2 . At what time do the cars

NEET 2016 Solution View → 49

If the velocity of a particle is υ = A t + B t 2 , where A and B are constants, then the distance travelled by it between 1     s and 2     s is:

NEET 2016 Solution View → 50

A particle moves so that its position vector is given by r → = c o s ω t   x ^   + s i n ω t   y ^ , where ω is a constant. Which of the foll

NEET 2016 Solution View → 51

A person is standing in an elevator. In which situation he finds himself weightless?

AIIMS 2015 Solution View → 52

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 proportional to

AIIMS 2015 Solution View → 53

Assertion : The speedometer of an automobile measures the average speed of the automobile. Reason : Average velocity is equal to total distance divided by total time taken.

AIIMS 2015 Solution View → 54

A block is kept on the floor of an elevator at rest. The elevator starts descending with an acceleration of 12 ~m / s ^2 . Find the displacement of the block during the first 0.2 s

JIPMER 2015 Solution View → 55

The distance x (in m ) covered by a molecule starting from point A at time t=0 and stopping at another point B in given by the equation x=t^2 (2- t 3 ) The distance between A and B

JIPMER 2015 Solution View → 56

A rod P Q of length l is moving with ends remaining in contact with frictionless wall and floor. If at the instant, shown the velocity of end B is 2 ~m / s towards negative directi

JIPMER 2015 Solution View → 57

The position vector of a particle R → as a function of time is given by: R → = 4 sin ⁡ 2 π t i ^ + 4 c o s ⁡ ( 2 π t ) j ^ Where R is in meters, t

NEET 2015 Solution View → 58

Two particles A and B move with constant velocities v → 1 and v → 2 . At the initial moment their position vectors are r → 1 and r → 2 respectively. The con

NEET 2015 Solution View → 59

A ship A is moving Westwards with a speed of 10   k m h - 1 and a ship B 100 km south of A , is moving Northwards with a speed of 10   k m   h - 1 . The time af

NEET 2015 Solution View → 60

A particle undergoes a one-dimensional motion such that its velocity varies according to v x = β x - 2 n , where β and n are constants and x is the position of the partic

NEET 2015 Solution View → 61

A particle is moving eastwards with a velocity of 5 ~m / s . In 10 ~s , the velocity changes to 5 ~m / s northwards. The average acceleration in this time is

AIIMS 2014 Solution View → 62

A steel wire with cross-section 3 ~cm ^2 has elastic limit 2.4 10^8 ~N ~m ⁻² . The maximum upward acceleration that can be given to a 1200 ~kg elevator supported by thiscable wire

AIIMS 2014 Solution View → 63

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 tw

AIIMS 2014 Solution View → 64

A particle moves towards east for 2 s with velocity 15 ~m / s and move towards north for 8 s with velocity 5 ~m / s . Then, average velocity of the particle is

JIPMER 2014 Solution View → 65

An observer is approaching with velocity v towards a light source. If the velocity of light is c , then velocity of light with respect to observer will be

JIPMER 2014 Solution View → 66

A particle is moving such that its position coordinates x ,   y are 2   m ,   3   m at time t = 0 , 6   m ,   7   m at time t = 2   s and 13

NEET 2014 Solution View → 67

Two boys are standing at the ends A and B of a ground, where A B=a . The boy at B starts running in a direction perpendicular to A B with velocity v₁ . The boy at A starts running

JIPMER 2013 Solution View → 68

The displacement ' x ' (in meter) of a particle of mass ' m ' (in kg) moving in one dimension under the action of a force, is related to time ' t ' (in sec) by t= x +3 . The displa

NEET 2013 Solution View → 69

A stone falls freely under gravity. It covers distances h₁, h₂ and h₃ in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h₁, h₂ an

NEET 2013 Solution View → 70

A police party is moving in a jeep at a constant speed v . They saw a thief at a distance x on a motorcycle which is at rest. The moment the police saw the thief, the thief started

JIPMER 2012 Solution View → 71

A coin is dropped in a lift. It takes time t₁ to reach the floor when lift is stationary. It takes time t₂ when lift is moving up with constant acceleration. Then,

JIPMER 2012 Solution View → 72

A boy on a cycle pedals around a circle of 20 metres radius at a speed of 20 ~m / s . The combined mass of the body and the cycle makes with the vartical so that it may not fall is

JIPMER 2012 Solution View → 73

A particle has initial velocity (2 i +3 j ) and acceleration (0.3 i +0.2 j ) . The magnitude of velocity after 10 ~s will be

NEET 2012 Solution View → 74

A stone is dropped from a height h . It hits the ground with a certain momentum p . If the same stone is dropped from a height 100 % more than the previous height, the momentum whe

NEET 2012 Solution View → 75

The motion of a particle along a straight line is described by equation x=8+12 t-t^3 where, x is in metre and t in second. The retardation of the particle when its velocity becomes

NEET 2012 Solution View → 76

A 0.2 ~kg object at rest is subjected to a force (0.3 i -0.4 j ) N . What is the velocity after 6 ~s ?

AIIMS 2011 Solution View → 77

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

JIPMER 2011 Solution View → 78

The numerical ratio of displacement to the distance covered is always

JIPMER 2011 Solution View → 79

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 tot

JIPMER 2011 Solution View → 80

A boy standing at the top of a tower of 20 ~m height drops a stone. Assuming g=10 ~ms ⁻² , the velocity with which it hits the ground is

NEET 2011 Solution View → 81

A body is moving with velocity 30 ~m / s towards east. After 10 ~s its velocity becomes 40 ~m / s towards north. The average acceleration of the body is

NEET 2011 Solution View → 82

A particle covers half of its total distance with speed v₁ and the rest half distance with speed v₂ . Its average speed during the complete journey is

NEET 2011 Solution View → 83

The position of a particle moving in the x-y plane at any time t is given by, x= (3 t^3-6 t ) metres; y= (t^2-2 t ) metres. Select the correct statement.

AIIMS 2010 Solution View → 84

Assertion : The apparent weight of a body in an elevator moving with some downward acceleration is less than the actual weight of a body. Reason : The part of the weight is spent i

AIIMS 2010 Solution View → 85

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 spe

AIIMS 2010 Solution View → 86

A ball is dropped from a high rise platform at t =0 starting from rest. After 6 ~s another ball is thrown downwards from the same platform with a speed v . The two balls meet at t

NEET 2010 Solution View → 87

A particle moves a distance x in time t according to equation x=(t+5)⁻¹ . The acceleration of particle is proportional to

NEET 2010 Solution View → 88

A body is projected horizontally with a velocity of 4 2 ~m / sec . The velocity of the body after 0.7 seconds will be nearly (Take g=10 ~m / sec ^2 )

AIIMS 2009 Solution View → 89

A particle starting from the origin (0,0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are ( 3 , 3) . The path of the particle makes with the x -ax

JIPMER 2009 Solution View → 90

A car moves from X to Y with a uniform speed v_u and returns to Y with a uniform speed v_d . The average speed for this round trip is

JIPMER 2009 Solution View → 91

A bus is moving with a speed of 10 ~ms ⁻¹ on a straight road. A scooterist wishes to overtake the bus in 100 ~s . If the bus is at a distance of 1 ~km from the scooterist, with wha

NEET 2009 Solution View → 92

A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is S ₁ and that covered in the first 20 seconds is S ₂ then

NEET 2009 Solution View → 93

A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 ~s is s ₁ and that covered in the first 20 ~s is s ₂ , then

NEET 2009 Solution View → 94

A bus is moving with a speed of 10 ~ms ⁻¹ on a straight road. A scooterist wishes to overtake the bus in 100 ~s . If the bus is at a distance of 1 ~km from the scooterist, with wha

NEET 2009 Solution View → 95

The displacement time graph of a particle moving along a straight line is drawn below.

AIIMS 2008 Solution View → 96

A particle moves along a straight line O X . At a time t (in second) the distance x (in metre) of the particle from O is given by x=40+12 t-t^3 How long would the particle travel b

JIPMER 2008 Solution View → 97

If we throw a body upwards with velocity of 4 ~m / s , at what height does its kinetic energy reduce to half of the initial value? (Take g=10 ~ms ⁻² )

JIPMER 2008 Solution View → 98

The displacement of particle is given by x=a₀+ a₁ t 2 - a₂ t^2 3 What is its acceleration?

JIPMER 2008 Solution View → 99

The distance travelled by a particle starting from rest and moving with an acceleration 4 3 ~ms ⁻² , in the third second is

NEET 2008 Solution View → 100

A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point

NEET 2008 Solution View → 101

A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 ~ms ⁻¹ to 20 ~ms ⁻¹ while passing through a distance 135 ~m in t second. The value

NEET 2008 Solution View → 102

A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 ~ms ⁻¹ to 20 ~ms ⁻¹ while passing through a distance 135 ~m in t second. The value

NEET 2008 Solution View → 103

The distance travelled by a particle starting from rest and moving with an acceleration 4 3 ~ms ⁻² , in the third second is

NEET 2008 Solution View → 104

A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point

NEET 2008 Solution View → 105

A man of mass (60 ~kg ) records his wt. on a weighing machine placed inside a lift. The ratio of wts. of man recorded when lift is ascending up with a uniform speed of (2 ~m / s )

AIIMS 2007 Solution View → 106

Assertion : An astronaut experience weightlessness in a space satellite. Reason : When a body falls freely it does not experience gravity.

AIIMS 2007 Solution View → 107

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

AIIMS 2007 Solution View → 108

The displacement x of a particle varies with time t as x=a e^ - t +b e^ t , where a, b, and are positive constants. The velocity of the particle will

JIPMER 2007 Solution View → 109

Two boys are standing at the ends A and B of a ground, where A B=a . The boy at B starts running in a direction perpendicular to A B with velocity v₁ . The boy at A starts running

JIPMER 2007 Solution View → 110

A car moves from X to Y with a uniform speed v_u . The average speed for this round trip is :

NEET 2007 Solution View → 111

A particle moving along x -axis has acceleration f , at time t , given by f=f₀ (1- t T ) , where f₀ and T are constants. The particle at t=0 has zero velocity. In the time interval

NEET 2007 Solution View → 112

The position x of a particle with respect to time t along x -axis is given by x=9 t^2-t^3 where x is in metres and t in second. What will be the position of this particle when it a

NEET 2007 Solution View → 113

Two spheres of same size, one of mass 2 ~kg and another of mass 4 ~kg are dropped simultaneously from the top of Qutab Minar (height 72 ~m ). When they are 1 ~m above the ground th

AIIMS 2006 Solution View → 114

Assertion : A man in a closed cabin which is falling freely does not experience gravity. Reason : Inertial and gravitational mass have equivalence.

AIIMS 2006 Solution View → 115

A car starts from rest, moves with an acceleration a and then decelerates at a constant rate b for sometimes to come to rest. If the total time taken is t . The maximum velocity of

JIPMER 2006 Solution View → 116

A particle moves along a straight line OX . At a time t (in seconds) the distance x (in metres) of the particle from O is given by x=40+12 t-t^3 . How long would the particle trave

NEET 2006 Solution View → 117

Two bodies A (of mass 1 ~kg ) and B (of mass 3 ~kg ) are dropped from heights of 16 ~m and 25 ~m , respectively. The ratio of the time taken by them to reach the ground is:

NEET 2006 Solution View → 118

When a ball is thrown up vertically with velocity v₀ , it reaches a maximum height of h . If one wishes to triple the maximum height then the ball should be thrown with velocity

AIIMS 2005 Solution View → 119

A police jeep is chasing with velocity of 45 ~km / h . A thief in another jeep moving with velocity 153 ~km / h . Police fires a bullet with muzzle velocity of 180 ~m / s . The vel

JIPMER 2005 Solution View → 120

A ball is thrown vertically. It has a speed of 10 ~m / sec when it has reached one half of its maximum height. How high does the ball rise? Take g =10 ~m / s ^2 .

NEET 2005 Solution View →
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