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Rest and Motion Kinematics — JEE Main & Advanced Physics PYQs

105 previous year questions from Rest and Motion Kinematics with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

A man has to travel 50 m due north, 40 m due east, and 20 m due south to reach a field. Determine the distance he has to walk to reach the field in m.

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A particle begins at the origin, travels along the X-axis to the point (20 m , 0) , and subsequently returns along the same line to the point (-20 m , 0) . Determine the distance a

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The distance from Patna to Ranchi is 260 km by air and 320 km by road. An aeroplane requires 30 minutes to travel from Patna to Ranchi, while a delux bus takes 8 hours. Determine t

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The distance from Patna to Ranchi is 260 km by air and 320 km by road. An aeroplane requires 30 minutes to travel from Patna to Ranchi, while a delux bus takes 8 hours. Determine t

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The distance from Patna to Ranchi is 260 km by air and 320 km by road. An aeroplane requires 30 minutes to travel from Patna to Ranchi, while a delux bus takes 8 hours. Determine t

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The distance from Patna to Ranchi is 260 km by air and 320 km by road. An aeroplane requires 30 minutes to travel from Patna to Ranchi, while a delux bus takes 8 hours. Determine t

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A man has to travel 50 m due north, 40 m due east, and 20 m due south to reach a field from his house. Determine his displacement from the house to the field.

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When a person departs his home for sightseeing by his car, the meter reads 12352 km . Upon returning home after two hours, the reading is 12416 km . What is the average speed of th

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When a person departs his home for sightseeing by his car, the meter reads 12352 km . Upon returning home after two hours, the reading is 12416 km . What is the average velocity of

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An athlete requires 2.0 s to reach his maximum speed of 18.0 km/h . Determine the magnitude of his average acceleration in m/s ^2 .

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The figure displays the speed of a car as a function of time. Determine the distance travelled by the car in 8 seconds and its acceleration.

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Starting at t = 0 , the acceleration of a cart varies with time as shown in the figure. Determine the distance travelled in 30 seconds and select the correct description of its pos

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The figure presents the graph of velocity versus time for a particle going along the X-axis. Determine the acceleration in m/s ^2 .

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The graph of velocity versus time for a particle going along the X-axis is depicted in the figure. Find the distance travelled in 0 to 10 s in meters.

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The velocity versus time graph for a particle going along the X-axis is illustrated in the figure. Calculate the displacement in 0 to 10 s in meters.

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The figure displays the graph of the x -coordinate of a particle travelling along the X-axis as a function of time. Determine the average velocity of the particle during the interv

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The figure displays the graph of the x -coordinate of a particle travelling along the X-axis as a function of time. Determine the instantaneous velocity of the particle at 2 s , 5

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Based on the velocity-time plot shown in the figure, determine the distance travelled by the particle during the first 40 seconds. Also determine the average velocity during this p

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The x - t graph of a particle is displayed in the figure. Determine the time t , in seconds, such that the average velocity of the particle during the period 0 to t is zero.

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A particle starts from point A and travels along the solid curve shown in the figure. Determine approximately the position B of the particle such that the average velocity between

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An object with a velocity of 4.0 m/s is accelerated at a rate of 1.2 m/s ^2 for 5.0 s . Determine the distance travelled during this period of acceleration in m.

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Travelling at 43.2 km/h , a person applies the brake to his scooter, producing a deceleration of 6.0 m/s ^2 . Determine how far it will travel before stopping, in meters.

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Starting from rest, a train travels with a constant acceleration of 2.0 m/s ^2 for half a minute. Subsequently, the brakes are applied, bringing the train to rest in one minute. De

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Starting from rest, a train travels with a constant acceleration of 2.0 m/s ^2 for half a minute. Subsequently, the brakes are applied, bringing the train to rest in one minute. De

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A bullet travelling with a velocity of 16 m/s penetrates a tree trunk and comes to rest in 0.4 m . Determine the time taken during the retardation in seconds.

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Starting from rest, a train travels with a constant acceleration of 2.0 m/s ^2 for half a minute. Subsequently, the brakes are applied, bringing the train to rest in one minute. De

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A bullet travelling at a speed of 350 m/s enters a concrete wall and penetrates a distance of 5.0 cm before coming to rest. Determine the deceleration in m/s ^2 .

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A particle starting from rest travels with constant acceleration. If it takes 5.0 s to reach a speed of 18.0 km/h , determine the average velocity during this period in m/s.

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A particle starting from rest travels with constant acceleration. If it takes 5.0 s to reach a speed of 18.0 km/h , determine the distance travelled by the particle during this per

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A driver takes 0.20 s to apply the brakes after seeing a need for it. This is termed the reaction time of the driver. If he is driving a car at a speed of 54 km/h and the brakes ca

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Determine the missing entries in the following table: Car Model Driver X Reaction time 0.20 s Driver Y Reaction time 0.30 s A (deceleration on hard braking = 6.0 m/s ^2 ) Speed = 5

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A police jeep chases a culprit on a motorbike. The motorbike crosses a turning at a speed of 72 km/h . The jeep follows at a speed of 90 km/h , crossing the turning ten seconds lat

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Travelling at 60 km/h , a car overtakes another car travelling at 42 km/h . Assuming each car is 5.0 m long, determine the time taken during the overtake and the total road distanc

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A ball is projected vertically upward at a speed of 50 m/s . Determine the maximum height in m. Take g = 10 m/s ^2 .

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A ball is projected vertically upward at a speed of 50 m/s . Determine the time required to reach the maximum height in s. Take g = 10 m/s ^2 .

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A ball is projected vertically upward at a speed of 50 m/s . Determine the speed at half the maximum height. Take g = 10 m/s ^2 .

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A ball is dropped from a balloon ascending at a speed of 7 m/s . If the balloon was at a height of 60 m at the time the ball was dropped, determine the time taken by the ball to re

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A stone is thrown vertically upward with a speed of 28 m/s . Determine the maximum height reached by the stone, its velocity one second before it reaches the maximum height, and wh

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A person sitting on the top of a tall building is dropping balls at regular intervals of one second. Determine the positions of the 3rd, 4th and 5th ball when the 6th ball is being

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Standing at a distance of 7 m from an 11.8 m high building, a healthy young man sees a kid slipping from the top floor. Determine the speed (assumed uniform) with which he should r

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An NCC parade is travelling at a uniform speed of 6 km/h through a place under a berry tree, on which a bird is sitting at a height of 12.1 m . At a specific instant, the bird drop

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A ball is dropped from a height. If it requires 0.200 s to cross the final 6.00 m before striking the ground, determine the height, in m, from which it was dropped. Take g = 10 m/s

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A ball is dropped onto a sandy floor from a height of 5 m and penetrates the sand up to 10 cm before coming to rest. Assuming the retardation of the ball in the sand is uniform, de

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An elevator is descending with uniform acceleration. To determine the acceleration, a person in the elevator drops a coin at the instant the elevator starts. The coin is 6 ft above

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From a point 100 m above the ground, a ball is thrown horizontally with a speed of 20 m/s . Determine the time it takes to reach the ground in seconds.

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From a point 100 m above the ground, a ball is thrown horizontally with a speed of 20 m/s . Determine the horizontal distance the ball travels before reaching the ground in meters.

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From a point 100 m above the ground, a ball is thrown horizontally with a speed of 20 m/s . Determine the velocity (both magnitude and direction) with which it strikes the ground.

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A ball is projected at a speed of 40 m/s at an angle of 60^ to the horizontal. Determine the maximum height reached by the ball in m. Take g = 10 m/s ^2 .

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A ball is projected at a speed of 40 m/s at an angle of 60^ to the horizontal. Determine the range of the ball. Take g = 10 m/s ^2 .

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During a soccer practice session, the football is positioned at the centre of the field 40 yards from the 10 ft high goalposts. A goal is attempted by kicking the football at a spe

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Goli is a popular game in Indian villages, played with small glass balls known as golis. One player's goli is located at a distance of 2.0 m from the second player's goli. The seco

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As shown in the figure, a ditch is 11.7 ft wide and has approach roads inclined at an angle of 15^ with the horizontal. Determine the minimum speed in ft/s at which a motorbike mus

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A person standing on the top of a cliff 171 ft high needs to throw a packet to his friend standing on the ground 228 ft horizontally away. If he throws the packet directly aiming a

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A ball is projected from a point on the floor at a speed of 15 m/s and an angle of 60^ with the horizontal. Decide whether it will hit a vertical wall 5 m away from the point of pr

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Determine the average velocity of a projectile between the instants it crosses half the maximum height. It is projected with a speed u at an angle heta with the horizontal.

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A bomb is dropped from a plane travelling horizontally with uniform speed. Determine the location of the bomb relative to the plane at the time of explosion, and state whether this

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Standing on a long railroad car, a boy throws a ball straight upwards. The car travels on a horizontal road with an acceleration of 1 m/s ^2 , and the projection velocity in the ve

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A staircase contains three steps, each 10 cm high and 20 cm wide, as shown in the figure. Determine the minimum horizontal velocity, in m/s, of a ball rolling off the uppermost pla

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A person is standing on a truck moving with a constant velocity of 14.7 m/s on a horizontal road. The man throws a ball in such a way that it returns to the truck after the truck h

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A person is standing on a truck moving with a constant velocity of 14.7 m/s on a horizontal road. The man throws a ball in such a way that it returns to the truck after the truck h

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The benches of a gallery in a cricket stadium are 1 m wide and 1 m high. A batsman strikes the ball at a level one metre above the ground and hits a mammoth sixer. The ball starts

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Sitting on the shore of a river, a man is in the line of a 1.0 m long boat and is 5.5 m away from the centre of the boat. He wishes to throw an apple into the boat. If he is able t

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A river 400 m wide flows at a rate of 2.0 m/s . A boat sails at a velocity of 10 m/s with respect to the water, in a direction perpendicular to the river. Determine the time taken

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A river 400 m wide flows at a rate of 2.0 m/s . A boat sails at a velocity of 10 m/s with respect to the water, in a direction perpendicular to the river. Determine how far from th

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A swimmer desires to cross a 500 m wide river that is flowing at 5 km/h . His speed relative to the water is 3 km/h . If he heads in a direction making an angle with the flow, dete

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A swimmer desires to cross a 500 m wide river that is flowing at 5 km/h . His speed relative to the water is 3 km/h . Determine the shortest possible time in minutes to cross the r

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Consider the situation of the previous problem. The man has to reach the other shore at the point directly opposite to his starting point. If he reaches the other shore somewhere e

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An aeroplane is required to travel from a point A to another point B , located 500 km away due 30^ east of north. A wind blows due north at a speed of 20 m/s , and the air-speed of

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An aeroplane is required to travel from a point A to another point B , located 500 km away due 30^ east of north. A wind blows due north at a speed of 20 m/s , and the air-speed of

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Two friends A and B are standing a distance x apart in an open field and wind is blowing from A to B . A beats a drum, and B hears the sound t₁ time after seeing the event. A and B

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Suppose A and B in the previous problem change their positions in such a way that the line joining them becomes perpendicular to the direction of wind while maintaining the separat

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Six particles positioned at the corners of a regular hexagon of side a travel at a constant speed v . Each particle continually maintains a direction towards the particle at the ne

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Travelling due north at a speed of 50 km/h , a motor car executes a 90^ left turn while maintaining its speed. The change in the car's velocity is approximately

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The displacement-time graph for a particle travelling along the X-axis is shown in the figure.

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At t = 0 , a particle has a velocity u towards east. Its acceleration is constant and directed towards west. Let x_A and x_B denote the magnitude of displacements in the first 10 s

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A stone is released from an elevator travelling upward with an acceleration a . Following its release, the acceleration of the stone is

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A person travelling along a straight line moves with a uniform velocity v₁ for a certain duration and with a uniform velocity v₂ for the next equal duration. The average velocity v

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A person moving along a straight line travels with a uniform velocity v₁ for a distance x , and then with a uniform velocity v₂ for the next equal distance. The average velocity v

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Standing near the edge of the top of a building, a person throws two balls A and B . Ball A is thrown vertically upward and ball B is thrown vertically downward with the same speed

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Two bullets are fired simultaneously and horizontally from the same place, with different speeds. Which bullet will hit the ground first?

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During a projectile motion, the velocity

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 82

A projectile fired at an angle of 15^ achieves a range of 50 m . If the projectile is fired with the same speed at an angle of 45^ , its range will be

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Two projectiles A and B are launched with an angle of projection of 15^ for projectile A and 45^ for projectile B . If R_A and R_B denote the horizontal ranges for the two projecti

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A river flows from west to east at a speed of 5 metres per minute. A man on the south bank, who can swim at 10 metres per minute in still water, wishes to cross the river in the sh

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 85

In the illustrated arrangement, the ends P and Q of an inextensible string travel downwards with a uniform speed u . The pulleys A and B are fixed. The mass M moves upwards with a

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A particle travels along the X-axis as x = u(t - 2 s ) + a(t - 2 s )^2 .

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Consider the motion of the tip of the minute hand of a clock. Over the course of one hour,

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 88

It is possible for an object to have

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 89

At t = 0 , the velocity of a particle is zero. Which of the following statements are correct?

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Select the correct statements for a particle travelling on a straight line:

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Choose the correct statements:

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 92

Identify the correct statements:

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The position of a particle moving on the X-axis is shown as a function of time in the figure.

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The velocity-time plot of a particle travelling along a straight line is presented in the figure.

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Observed from two frames S₁ and S₂ , the acceleration of a particle has an equal magnitude of 4 ext m/s ^2 .

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 96

It is possible for an object to have

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 97

Choose the correct statements:

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 98

Identify the correct statements:

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 99

The position of a particle moving on the X-axis is shown as a function of time in the figure.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 100

Select the correct statements for a particle travelling on a straight line:

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 101

At t = 0 , the velocity of a particle is zero. Which of the following statements are correct?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 102

Consider the motion of the tip of the minute hand of a clock. Over the course of one hour,

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 103

The velocity-time plot of a particle travelling along a straight line is presented in the figure.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 104

Observed from two frames S₁ and S₂ , the acceleration of a particle has an equal magnitude of 4 ext m/s ^2 .

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 105

A particle travels along the X-axis as x = u(t - 2 s ) + a(t - 2 s )^2 .

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