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Motion in One Dimension — JEE Main & Advanced Physics PYQs

341 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.

341 questionsPhysicsSolutions on every page
1

A gas balloon is going up with a constant velocity of 10 m/s. When this balloon reached a height of 75 m, a stone is dropped from it and balloon keeps moving up with the same veloc

JEE Main 2026 Solution View → 2

Two masses of 3.4 kg and 2.5 kg are accelerated from an initial speed of 5 m/s and 12 m/s, respectively. The distances traversed by the masses in the 5^ th second are 104 m and 129

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The velocity ( v ) versus time ( t ) plot of a particle is shown in the figure, for a time interval of 40 s . The total distance travelled by the particle and the average velocity

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From 18 m height above the ground a ball is dropped from rest. The height above the ground at which the magnitude of velocity equal to the magnitude of acceleration (in the same se

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Two cars A and B are moving in the same direction along a straight line with speeds 100 km/h and 80 km/h, respectively such that car A is moving ahead of car B . A person in car B

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The velocity of a particle is given as v = -x i + 2y j - z k m/s. The magnitude of acceleration at point (1, 2, 4) is _______ m/s ^2 .

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A particle starts moving from time t=0 and its coordinate is given as x(t)=4 t³-3 t A. The particle returns to its original position (origin) 0.866 units later B. The particle is 1

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Water drops fall from a tap on the floor, 5 m below, at regular intervals of time, the first drop strikes the floor when the sixth drop begins to fall. The height at which the four

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The velocity (v) - Distance (x) graph is shown in figure. Which graph represents acceleration (a) versus distance (x) variation of this system?

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A paratrooper jumps from an aeroplane and opens a parachute after 2 s of free fall and starts deaccelerating with 3 ~m / s ² . At 10 m height from ground, while descending with the

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A body of mass 2 kg moving with velocity of v _ in =3 i +4 j ms ⁻¹ enters into a constant force field of 6 N directed along positive z -axis. If the body remains in the field for a

JEE Main 2025 Solution View → 12

A helicopter flying horizontally with a speed of 360 ~km / h at an altitude of 2 km , drops an object at an instant. The object hits the ground at a point O , 20 s after it is drop

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The displacement x versus time graph is shown below. (A) The average velocity during 0 to 3 s is 10 ~m / s (B) The average velocity during 3 to 5 s is 0 ~m / s (C) The instantaneou

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A particle moves along the x -axis and has its displacement x varying with time t according to the equation x = c ₀ ( t ^2-2 )+ c ( t -2)^2 where c₀ and c are constants of appropri

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Which of the following curves possibly represent one-dimensional motion of a particle? Choose the correct answer from the options given below :

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A sportsman runs around a circular track of radius r such that he traverses the path A B A B . The distance travelled and displacement, respectively, are

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A person travelling on a straight line moves with a uniform velocity v ₁ for a distance x and with a uniform velocity v ₂ for the next 3 2 x distance. The average velocity in this

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Two cars P and Q are moving on a road in the same direction. Acceleration of car P increases linearly with time whereas car Q moves with a constant acceleration. Both cars cross ea

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The maximum speed of a boat in still water is (27 ~km / h ). Now this boat is moving downstream in a river flowing at (9 ~km / h ). A man in the boat throws a ball vertically upwar

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The velocity-time graph of an object moving along a straight line is shown in figure. What is the distance covered by the object between t=0 to t=4 ~s ?

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The motion of an airplane is represented by velocity-time graph as shown below. The distance covered by airplane in the first 30.5 second is _______ km .

JEE Main 2025 Solution View → 22

A ball is thrown from the location (x₀, y₀ )=(0,0) of a horizontal playground with an initial speed v₀ at an angle ₀ from the +x -direction. The ball is to be hit by a stone, which

JEE Advanced 2024 Solution View → 23

Two cars are travelling towards each other at speed of 20 ~m ~s ⁻¹ each. When the cars are 300 ~m apart, both the drivers apply brakes and the cars retard at the rate of 2 ~m ~s ⁻²

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A particle moving in a straight line covers half the distance with speed 6 ~m / s . The other half is covered in two equal time intervals with speeds 9 ~m / s and 15 ~m / s respect

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A clock has 75 ~cm , 60 ~cm long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel x distance more than the tip of minute hand. Th

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A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in t₁ . If it is projected vertically downwards from the same point with the sam

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A particle moves in a straight line so that its displacement x at any time t is given by x^2=1+t^2 . Its acceleration at any time t is x^ - n where n = ___________

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A train starting from rest first accelerates uniformly up to a speed of 80 ~km / h for time t , then it moves with a constant speed for time 3 t . The average speed of the train fo

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A body moves on a frictionless plane starting from rest. If S_n is distance moved between t=n-1 and t = n and S _ n -1 is distance moved between t = n -2 and t = n -1 , then the ra

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A cyclist starts from the point P of a circular ground of radius 2 ~km and travels along its circumference to the point S . The displacement of a cyclist is:

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A bus moving along a straight highway with speed of 72 ~km / h is brought to halt within 4 s after applying the brakes. The distance travelled by the bus during this time (Assume t

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A body travels 102.5 ~m in n ^ th second and 115.0 ~m in ( n +2)^ th second. The acceleration is :

JEE Main 2024 Solution View → 33

A particle initially at rest starts moving from reference point x = 0 along x -axis, with velocity v that varies as v = 4 x m s - 1 . The acceleration of the particle is _____ m s

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Train A is moving along two parallel rail tracks towards north with 72 km h - 1 and train B is moving towards south with speed 108 km h - 1 . Velocity of train B with respect to A

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A particle is moving in one dimension (along x axis) under the action of a variable force. It's initial position was 16 m right of origin. The variation of its position x with time

JEE Main 2024 Solution View → 36

The relation between time ‘ t ’ and distance ‘ x ’ is t = α x 2 + β x , where α and β are constants. The relation between acceleration a and velocity v is:

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A small steel ball is dropped into a long cylinder containing glycerine. Which one of the following is the correct representation of the velocity time graph for the transit of the

JEE Main 2024 Solution View → 38

The displacement and the increase in the velocity of a moving particle in the time interval of t to ( t + 1 ) s are 125 m and 50 m s - 1 , respectively. The distance travelled by t

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A particle is moving in a straight line. The variation of position x as a function of time t is given as x = t 3 - 6 t 2 + 20 t + 15 m . The velocity of the body when its accelerat

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A body starts moving from rest with constant acceleration covers displacement S 1 in first ( p - 1 ) seconds and S 2 in first p seconds. The displacement S 1 + S 2 will be made in

JEE Main 2024 Solution View → 41

A body falling under gravity covers two points A and B separated by 80 m in 2 s . The distance of upper point A from the starting point is _____ m . Use g = 10 m s - 2

JEE Main 2024 Solution View → 42

A bullet is fired into a fixed target looses one third of its velocity after travelling 4 cm . It penetrates further D × 10 - 3 m before coming to rest. The value of D is :

JEE Main 2024 Solution View → 43

Position of an ant ( S in metres) moving in Y - Z plane is given by S = 2 t 2 j ^ + 5 k ^ (where t is in second). The magnitude and direction of velocity of the ant at t = 1 s will

JEE Main 2024 Solution View → 44

A particle starts from origin at t = 0 with a velocity 5 i ^ m s - 1 and moves in x - y plane under action of a force which produces a constant acceleration of ( 3 i ^ + 2 j ^ ) m

JEE Main 2024 Solution View → 45

The position of a particle related to time is given by x = ( 5 t 2 - 4 t + 5 ) m . The magnitude of velocity of the particle at t = 2 s will be :

JEE Main 2023 Solution View → 46

The distance travelled by an object in time t is given by s = 2 . 5 t 2 . The instantaneous speed of the object at t = 5 s will be :

JEE Main 2023 Solution View → 47

A passenger sitting in a train A moving at 90 km h - 1 observes another train B moving in the opposite direction for 8 s . If the velocity of the train B is 54 km h - 1 , then leng

JEE Main 2023 Solution View → 48

Two trains A and B of length l and 4 l are travelling into a tunnel of length L in parallel tracks from opposite directions with velocities 108 km h - 1 and 72 km h - 1 , respectiv

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A ball is thrown vertically upward with an initial velocity of 150 m s - 1 . The ratio of velocity after 3 s and 5 s is x + 1 x . The value of x is _____. take, g = 10 m s - 2

JEE Main 2023 Solution View → 50

Given below are two statements: Statement I : A truck and a car moving with same kinetic energy are brought to rest by applying breaks which provide equal retarding forces. Both co

JEE Main 2023 Solution View → 51

Form the v - t graph shown, the ratio of distance to displacement in 25 s of motion is:

JEE Main 2023 Solution View → 52

A person travels x distance with velocity v 1 and then x distance with velocity v 2 in the same direction. The average velocity of the person is v , then the relation between v , v

JEE Main 2023 Solution View → 53

The position-time graphs for two students A and B returning from the school to their homes are shown in figure. (A) A lives closer to the school (B) B lives closer to the school (C

JEE Main 2023 Solution View → 54

Given below are two statements: Statement I: Area under velocity-time graph gives the distance travelled by the body in a given time. Statement II: Area under acceleration-time gra

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A particle starts with an initial velocity of 10 . 0 ms - 1 along x -direction and accelerates uniformly at the rate of 2 . 0 m s - 2 . The time taken by the particle to reach the

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As shown in the figure, a particle is moving with constant speed π m s - 1 . Considering its motion from A to B , the magnitude of the average velocity is:

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A particle of mass 10   g   moves in a straight line with retardation 2 x , where x is the displacement in SI units. Its loss of kinetic energy for above displacement is

JEE Main 2023 Solution View → 58

For a train engine moving with speed of 20   ms – 1 , the driver must apply brakes at a distance of 500   m before the station for the train to come to rest at the

JEE Main 2023 Solution View → 59

An object moves with speed v 1 , v 2 and v 3 along a line segment A B , B C and C D respectively as shown in figure. Where A B = B C and A D = 3 A B , then average speed of the obj

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A vehicle travels 4 km with speed of 3 km h - 1 and another 4 km with speed of 5 km h - 1 , then its average speed is :

JEE Main 2023 Solution View → 61

An object is allowed to fall from a height R above the earth, where R is the radius of earth. Its velocity when it strikes the earth’s surface, ignoring air resistance, will

JEE Main 2023 Solution View → 62

Match Column-I with Column-II : Column-I (x-t graphs) Column-II (v-t graphs) A I B II C III D IV Choose the correct answer from the options given below:

JEE Main 2023 Solution View → 63

A horse rider covers half the distance with 5 m s - 1 speed. The remaining part of the distance was travelled with speed 10 m s - 1 for half the time and with speed 15 m s - 1 for

JEE Main 2023 Solution View → 64

A tennis ball is dropped on to the floor from a height of 9 . 8 m . It rebounds to a height 5 . 0 m . Ball comes in contact with the floor for 0 . 2 s . The average acceleration du

JEE Main 2023 Solution View → 65

The distance travelled by a particle is related to time t as x = 4 t 2 . The velocity of the particle at t = 5 s is

JEE Main 2023 Solution View → 66

A car travels a distance of x with speed v 1 and then same distance x with speed v 2 in the same direction. The average speed of the car is:

JEE Main 2023 Solution View → 67

The velocity-time graph of a body moving in a straight line is shown in figure. The ratio of displacement and distance travelled by the body in time 0 to 10 s is

JEE Main 2023 Solution View → 68

A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws

JEE Main 2022 Solution View → 69

A ball is released from a height h . If t 1 and t 2 be the time required to complete first half and second half of the distance respectively. Then, choose the correct relation betw

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A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height h . Find the ratio of the times in which it is at height h 3 while going up and coming d

JEE Main 2022 Solution View → 71

If t = x + 4 , then d x d t t = 4 is:

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A ball is thrown vertically upwards with a velocity of 19 . 6 m s - 1 from the top of a tower. The ball strikes the ground after 6 s . The height from the ground up to which the ba

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A NCC parade is going at a uniform speed of 9 km h - 1 under a mango tree on which a monkey is sitting at a height of 19 . 6 m . At any particular instant, the monkey drops a mango

JEE Main 2022 Solution View → 74

The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bu

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A bullet is shot vertically downwards with an initial velocity of 100 m s - 1 from a certain height. Within 10 s , the bullet reaches the ground and instantaneously comes to rest d

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A particle is moving in a straight line such that its velocity is increasing at 5 m s - 1 per meter. The acceleration of the particle is _____ m s - 2 at a point where its velocity

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A car is moving with speed of 150 km h - 1 and after applying the brake it will move 27 m before it stops. If the same car is moving with a speed of one third the reported speed th

JEE Main 2022 Solution View → 78

A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10 m in t s , the distance travelled by the toy in the next t s will

JEE Main 2022 Solution View → 79

Two balls A and B are placed at the top of 180 m tall tower. Ball A is released from the top at t = 0 s . Ball B is thrown vertically down with an initial velocity u at t = 2 s . A

JEE Main 2022 Solution View → 80

Velocity v and acceleration a in two systems of units 1 and 2 are related as v 2 = n m 2 v 1 and a 2 = a 1 m n respectively. Here m and n are constants. The relations for distance

JEE Main 2022 Solution View → 81

A car covers A B distance with first one-third at velocity v 1 m s - 1 , second one-third at v 2 m s - 1 and last one-third at v 3 m s - 1 . If v 3 = 3 v 1 , v 2 = 2 v 1 and v 1 =

JEE Main 2022 Solution View → 82

Motion of a particle in x - y plane is described by a set of following equations x = 4 sin π 2 - ω t m and y = 4 sin ω t m . The path of the particle will be

JEE Main 2022 Solution View → 83

When a ball is dropped into a lake from a height 4 . 9 m above the water level, it hits the water with a velocity v and then sinks to the bottom with the constant velocity v . It r

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A ball is projected vertically upward with an initial velocity of 50 m s - 1 at t = 0 s . At t = 2 s , another ball is projected vertically upward with same velocity. At t = ____ s

JEE Main 2022 Solution View → 85

A person is standing in an elevator. In which situation, he experiences weight loss ?

JEE Main 2022 Solution View → 86

An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero ?

JEE Main 2022 Solution View → 87

A ball of mass 0 . 5 kg is dropped from the height of 10 m . The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to gravity, is _____

JEE Main 2022 Solution View → 88

Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by x P t = α t + β t 2 and x Q t = f t - t 2 . At wh

JEE Main 2022 Solution View → 89

An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the motion. The ratio of time of asce

JEE Main 2022 Solution View → 90

From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6   s . A second ball thrown vertically downward from the same position with the same s

JEE Main 2022 Solution View → 91

An object of mass m is being moved with a constant velocity under the action of an applied force of 2 N along a frictionless surface with following surface profile. The correct app

JEE Main 2021 Solution View → 92

A particle is moving with constant acceleration a . Following graph shows v 2 versus x (displacement) plot. The acceleration of the particle is _________ m s - 2 .

JEE Main 2021 Solution View → 93

Water drops are falling from a nozzle of a shower onto the floor from a height of 9 . 8 m . The drops fall at a regular interval of time. When the first drop strikes the floor, at

JEE Main 2021 Solution View → 94

If the velocity of a body related to displacement x is given by v = 5000 + 24 x m s - 1 , then the acceleration of the body is _________ m s - 2 .

JEE Main 2021 Solution View → 95

Two spherical balls having equal masses with radius of 5 cm each are thrown upwards along the same vertical direction at an interval of 3 s with the same initial velocity of 35 m s

JEE Main 2021 Solution View → 96

A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation F = F 0 1 - t - T T 2 where F 0

JEE Main 2021 Solution View → 97

A ball is thrown up with a certain velocity so that it reaches a height h . Find the ratio of the two different times of the ball reaching h 3 in both the directions.

JEE Main 2021 Solution View → 98

The relation between time t and distance x for a moving body is given as t = m x 2 + n x , where m and n are constants. The retardation of the motion is: (When v stands for velocit

JEE Main 2021 Solution View → 99

A balloon was moving upwards with a uniform velocity of 10 m s - 1 . An object of finite mass is dropped from the balloon when it was at a height of 75 m from the ground level. The

JEE Main 2021 Solution View → 100

The instantaneous velocity of a particle moving in a straight line is given as v = α t + β t 2 , where α and β are constants. The distance travelled by the part

JEE Main 2021 Solution View → 101

Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4 th second after its fall to the next droplet is 34 . 3 m . At what rate

JEE Main 2021 Solution View → 102

A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time t is proportional to:

JEE Main 2021 Solution View → 103

The velocity-displacement graph of a particle is shown in the figure. The acceleration-displacement graph of the same particle is represented by :

JEE Main 2021 Solution View → 104

The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by :

JEE Main 2021 Solution View → 105

The velocity of a particle is v = v 0 + g t + F t 2 m s - 1 . Its position is x = 0 at t = 0 ; then its displacement after time ( t = 1 s ) is :

JEE Main 2021 Solution View → 106

A car accelerates from rest at a constant rate α for some time after which it decelerates at a constant rate β to come to rest. If the total time elapsed is t seconds, th

JEE Main 2021 Solution View → 107

A mosquito is moving with a velocity v → = 0 . 5 t 2 i ^ + 3 t j ^ + 9 k ^ m s - 1 and accelerating in uniform conditions. What will be the direction of mosquitoes after 2 s

JEE Main 2021 Solution View → 108

A body of mass 2 kg moves under a force of 2 i ^ + 3 j ^ + 5 k ^ N It starts from rest and was at the origin initially. After 4 s , its new coordinates are 8 , b , 20 . The value o

JEE Main 2021 Solution View → 109

The velocity-displacement graph describing the motion of a bicycle is shown in the figure. The acceleration-displacement graph of the bicycle's motion is best described by :

JEE Main 2021 Solution View → 110

A scooter accelerates from rest for time t 1 at constant rate a 1 and then retards at constant rate a 2 for time t 2 and comes to rest. The correct value of t 1 t 2 will be :

JEE Main 2021 Solution View → 111

A boy pushes a box of mass 2 kg with a force F → = 20 i ^ + 10 j ^ N on a frictionless surface. If the box was initially at rest, then _______ m is displacement along the x -

JEE Main 2021 Solution View → 112

A person standing on a spring balance inside a stationary lift measures 60   kg . The weight of that person if the lift descends with uniform downward acceleration of 1 . 8 &#

JEE Main 2021 Solution View → 113

A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone starts to fall from a point 25 m below the top. Both stones reach the bottom

JEE Main 2021 Solution View → 114

An engine of a train, moving with uniform acceleration, passes the signal-post with velocity u and the last compartment with velocity v . The velocity with which middle point of th

JEE Main 2021 Solution View → 115

If the velocity-time graph has the shape AMB , what would be the shape of the corresponding acceleration-time graph?

JEE Main 2021 Solution View → 116

Starting at time t = 0 from the origin with speed 1 m s - 1 , a particle follows a two-dimensional trajectory in the x - y plane so that its coordinates are related by the equation

JEE Advanced 2020 Solution View → 117

A particle moving in the xy -plane experiences a velocity dependent force F → = k υ y i ^ + υ x j ^ , where υ x and υ y are the x and y components of its

JEE Main 2020 Solution View → 118

When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed v , he sees that rain drops coming at an angle 60 ∘ from the horiz

JEE Main 2020 Solution View → 119

The velocity ( v ) and time ( t ) graph of a body in a straight line motion is shown in the figure. The point S is at 4 . 333 seconds. The total distance covered by the body in 6 s

JEE Main 2020 Solution View → 120

A balloon is moving up in air vertically above a point A on the ground. When it is a height h 1 , a girl standing at a distance d (point B) from A (see figure) sees it at an angle

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