Kinematics — practice questions

186 curated practice questions from Kinematics (Physics JEE Main, NTA Exams) — 7 hard, 165 easy, 14 medium. Every question includes the final answer free; step-by-step worked solutions with a free account.

• Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)…
• A particle is projected at 60° to the horizontal with a kinetic energy ( K = 1 2 mu ^ 2 ) . The kinetic energy at the…
• If A B = E A , then the angle between A and B is
• If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is
• A body is thrown at angle 30o to the horizontal with the velocity of 30 m/s. After 1 sec, its velocity will be (in m/s)…
• Which of the following sets of factors will affect the horizontal distance covered by an athlete in a long–jump event
• 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…
• A body has initial velocity u and moves with a constant acceleration a. The distance x, covered by the body in time t…
• A body covers first one-third of the distance with a velocity 20 m/s, the second one-third with a velocity of 30 m/s…
• A man throws balls with the same speed vertically upwards one after the other at an interval of 2 s. What should be the…
• If a body is thrown up with the velocity of 15 m/s then maximum height attained by the body is (g = 10 m/s2)
• The location of a particle has changed. What can we say about the displacement and the distance covered by the particle
• For a given velocity of projection from a point on the inclined plane, the maximum range down the plane is three times…
• For a given velocity, a projectile has the same range R for two angles of projection. If t 1 and t 2 are the times of…
• A particle moves along a straight-line OX. At a time t (in seconds), the distance x (in metres) of the particle from O…
• A ball is dropped from a bridge 122.5 m high. After the first ball has fallen for 2 s, a second ball is thrown straight…
• A block starts accelerating at 10 m/s 2 from rest on the frictionless surface. Calculate the distance travelled by the…
• The velocity of a particle moving on the x-axis is given by v = x2 + x where v is in m/s and x is in m. Find its…
• The displacement x of a particle varies with time t as x=a e^ -a t +b e^ k , where a, b, and are positive constants…
• A shell burns on contact with the ground and fragments fly in all directions with speeds up to 40 m/sec. A man 80 m…
• If ; 0 x < 1, then the value of ( c a+b ) is
• If the displacement of a particle is zero, then what can we say about its distance covered
• The position x (in m) of a particle along x-axis at time t (in sec) is given by x = 1 + t – t2. The distance travelled…
• A particle of mass m is projected with velocity v making an angle of 45° with the horizontal. When the particle lands…
• The number of real roots of the equation ^ -1 x(x+1) + ^ -1 x^ 2 +x+1 = 4 is
• A particle is thrown upward with a speed u at an angle θ with the horizontal. When the particle makes an angle φ with…
• Two bodies are projected with the same speed. If one is projected at an angle of 30o and the other at an angle of 60o…
• A car is moving with uniform velocity. Which of the following is true?
• Two projectiles A and B are projected with angle of projection 30° for the projectile A and 45° for the projectile B…
• The velocity of a particle is v = v o + gt + ft 2 . If it’s position is x = 0 at t = 0, then its displacement after…
• If for a given angle of projection, the horizontal range is doubled, the time of flight becomes
• An aeroplane moves 400 m towards the north, 300 m towards west and then 1200 m vertically upwards, then the difference…
• Body A starts from rest with an acceleration a1. After 2s another body B starts from rest with an acceleration a2. If…
• The graph of displacement v / s time is s(m) along y axis in question and t(s) along x axis in question Its…
• A man drops a ball downwards from the roof of a tower of height 400 meters. At the same time another ball is thrown…
• A boat is sent across (perpendicular) a river with a velocity of 8 kmh ^ -1 . If the resultant velocity of the boat is…
• The maximum horizontal range of a projectile is 400 m. The maximum height attained by it will be
• A projectile is fired at 30° to the horizontal. The vertical component of its velocity is 80 ms–1. Its time of flight…
• Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)…
• A shell is fired from a gun from the bottom of a hill along its slope. The slope of the hill is =30^ and the angle of…
• A body of mass 4 kg is accelerated upon by a constant force, travels a distance of 5 m in the first second and a…
• Given below are two statements. STATEMENT - 1: When a body is moving with constant acceleration, it always moves along…
• A particle is thrown vertically upwards. If its velocity at half of the maximum height is 10 m/s, then maximum height…
• The square of resultant of two equal forces is three times their product. Angle between the forces is
• An object starts from rest at x = 0 m when t = 0 s. The object moves in the x direction with positive velocity after t…
• A ball is thrown with a velocity 6 with an acceleration 6 i +2 j . The velocity of the ball after 4 seconds is
• A point moves in a straight line so that its displacement is x m at time t sec, given by x2 = t2 + 1. Its acceleration…
• A boy stops after travelling 3 km towards east and then goes 4 km towards north along a plane road. The resultant…
• A man throws a coin upwards from the gate of a uniformly moving train. The path of coin for the man will be (neglecting…
• A train moves from one station to another in 2 hours time. Its speed-time graph during this motion is shown in the…
• An aeroplane is moving with a horizontal velocity u at a height h above the ground. If a packet is dropped from it. The…
• A body moves over one fourth of a circular arc in a circle of radius R. The magnitude of distance travelled and…
• A train of 150 m length is going towards north direction at a speed of 10 ms -1 . A parrot flies at a speed of 5 ms -1…
• Given below are two statements. STATEMENT - 1: The speed and velocity are different physical quantities. STATEMENT - 2…
• A ball whose kinetic energy is ( E = 1 2 mu ^ 2 ) , is projected at an angle of 45° to the horizontal. The kinetic…
• A 100 m long train at 15 m/s overtakes a man running on the platform in the same direction in 10 s. How long the train…
• The distance x of a particle moving in one direction under the action of a constant force is given by t= x +3 . The…
• A boat crosses a river of width 1 km along the shortest path in 15 minutes. If the speed of boat in still water is 5…
• The displacement x of a particle moving along a straight line at time t is given by x=a_ 0 +a_ 1 t+a_ 2 t^ 2 The…
• A stone thrown upward with a speed u from the top of a tower reaches the ground with a velocity 3u. The height of the…
• A particle moves with constant speed v along a circular path of radius r and completes the circle in time T. The…
• If ^ -1 ( )= ^ -1 2+ ^ -1 8+ ^ -1 18+ ^ -1 32+ . upto 100 terms, then a is
• A particle moves along the X–axis according to the equation x = 6 t2, where x is in metres and t is in seconds. Then
• At the top of the trajectory of a projectile, the directions of its velocity and acceleration are
• A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is v…
• The water drops fall at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at the…
• At what angle must the two forces (x+y) and (x-y) act so that the resultant may be (x^ 2 +y^ 2 ) ?
• A particle is moving along a straight-line path and its displacement (x) at time t is given by x2 = at2 + 2bt + c…
• A positive acceleration always corresponds to the speeding up and a negative acceleration always corresponds to the…
• The displacement S of a particle is proportional to the first power of time, i.e. S ∝ t; then the acceleration of the…
• A body falls from rest in the gravitational field of the earth. The distance travelled in the fifth second of its…
• A car can have maximum acceleration or retardation 'a'. It wants to reach from one city to another city at a distance…
• The distance travelled by a particle starting from rest and moving with an acceleration 4 3 m 5^ -2 in the third second…
• A ball is thrown vertically upward with certain speed it passes through the same point at 3 seconds and 7 seconds from…
• If the initial velocity of a projectile be doubled. Keeping the angle of projection same, the maximum height reached by…
• Given below are two statements. STATEMENT - 1: If a car is accelerated uniformly from rest, then its displacement-time…
• Find range of projectile on the inclined plane which is projected perpendicular to the inclined plane with velocity 20…
• A particle is moving with velocity v = k (y i + i j ) , where k is a constant. The general equation for its path is
• 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 metre and t…
• A ball is thrown from a point with a speed v0 at an angle of projection θ. From the same point and at the same instant…
• Rain is falling vertically with a velocity of 25 ms ^ - l . A woman rides a bicycle with a speed of 10 ms ^ - l in the…
• The acceleration a (in ms -2 ) of a body, starting from rest varies with time t (in s) following the equation a = 3t +…
• If then the expression ^ -1 + (1+ ^ 2 ) ( - ) + ^ -1 + (1+ ^ 2 ) ( - ) + ^ -1 + (1+ ^ 2 ) ( - ) is equal to:
• Assertion: A positive acceleration of a body can be associated with a ‘slowing down’ of the body. Reason: Acceleration…
• If time of flight of a projectile is 10 seconds. Range is 500 m. The maximum height attained by it will be
• A body is released from the top of the tower H metre high. It takes t second to reach the ground. Where is the body t/2…
• A taxi is traveling at 30 m/s on a circular road of radius 1 km. It is increasing its speed at the rate of 1 m/s 2 …
• A cricketer can throw a ball to a maximum horizontal distance of 100 m. The speed with which he throws the ball is (to…
• An athlete completes one round of a circular track of radius R in 40 seconds. If he/she continues to move along the…
• A steamer moves with velocity 3 km/h in and against the direction of river water whose velocity is 2 km/h. Calculate…
• A body is thrown vertically up from the ground. It reaches a maximum height in 5 sec. After what time it will reach the…
• The displacement-time graph for two particles A and B are straight lines inclined at angles of 30^ and 60^ with the…
• A particle moves in the x-y plane with a velocity v_ x =8 t-2 and v _ y = Z . If it passes through the point x = 14 and…
• A car moving on a straight road covers one third of the distance with a speed of 20 km/hr and the rest with a speed of…
• A man swims from a point A on one bank of a river of width 100 m. When he swims perpendicular to the water current, he…
• Temperature of a body varies with time as T = (T0 + αt2 + βsint) K, where T0 is the temperature in Kelvin at t = 0 sec…
• A body which is moving in a circular path with constant speed has
• Find the total displacement of a body in 8 s starting from rest with an acceleration of 20 cm/s2:
• Given below are two statements. STATEMENT - 1: A simple pendulum is allowed to oscillate. Now, the string of the bob of…
• A motorboat covers a given distance in 6 h moving downstream on a river. It covers the same distance in 10 h moving…
• The displacement of body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of…
• A body freely falling from the rest has a velocity ‘v’ after it falls through a height ‘h’. The total distance from the…
• From the top of a tower, a particle is thrown vertically downwards with a velocity of 10 m/s. The ratio of the…
• The position vector of a particle is: r =a t i +a t j The velocity of the particle is:
• A swimmer jumps from a bridge over a canal and swims 1 km upstream. After that first km, he passes a floating cork. He…
• ( ^ -1 3 5 + ^ -1 5 13 + ^ -1 33 65 ) is equal to :
• Given below are two statements. STATEMENT - 1: The direction of retardation is opposite to the velocity. STATEMENT - 2…
• A body projected vertically upwards with a velocity u returns to the starting point in 4 seconds. If g = 10 m/sec2, the…
• A particle moving along x-axis has acceleration f, at time t, given by f=f_ 0 (1- t T ) , where f 0 and T are…
• If a car covers 2/5th of the total distance with v1 speed and 3/5th distance with v2 then average speed is
• The maximum range of a gun on horizontal terrain is 1.0 km. If g =10 ~ms ^ -2 , what must be the muzzle velocity of the…
• At any instant, the velocity and acceleration of a particle moving along a straight-line is v and a. The speed of the…
• A river is flowing from east to west at a speed of 5 m/min. A man on south bank of river, capable of swimming 10 m/min…
• A stone is dropped from certain height which can reach the ground in 5 s. If the stone is stopped after 3 s of its fall…
• A projectile is projected with initial velocity (6 i +8 j ) m / sec . If g = 10 ms –2 , then horizontal range is
• Speeds of two identical cars are u and 4u at a specific instant. The ratio of the respective distances in which the two…
• For , , 0 , if ^ -1 + ^ -1 + ^ -1 = and ( + + )( - + )=3 , then equals
• By what velocity a ball be projected vertically upwards so that the distance covered in 6th second is twice of that…
• A cricket ball is thrown with a velocity of 15 m/s at an angle of 30o with the horizontal. The time of flight of the…
• An inclined plane is making an angle with horizontal. A projectile is projected from the bottom of the plane with a…
• The speed of a projectile at the highest point becomes 1 2 times its initial speed. The horizontal range of the…
• The velocity at the maximum height of a projectile is half of its initial velocity of projection u. Its range on the…
• Which of the following is largest, when the height attained by the projectile is the largest
• A man goes 10 m towards North, then 20 m towards east then his displacement is: [take 5 =2.236 ]
• A bird is flying towards north with a velocity 40 km/h and a train is moving with a velocity 40 km/h towards east. What…
• An object may have Varying velocity without having varying speed Varying speed without having varying velocity Non-zero…
• A projectile thrown with an initial speed u and angle of projection 15o to the horizontal has a range R. If the same…
• A car travels first half of the distance between two places with a speed of 30 km/h and the remaining half with a speed…
• A body is at rest at x = 0. At t = 0, it starts moving in the positive x-direction with a constant acceleration. At the…
• A particle has an initial velocity 3 i +4 j and an acceleration of 0.4 i +0.3 j . Its speed after 10 s is
• Two bullets are fired simultaneously, horizontally and with different speeds from the same place. Which bullet will hit…
• A particle moves in space such that x = 2 sin πt where x, is measured in meter and t in second. The acceleration of the…
• A stone is thrown vertically upward and the height x ft reached by the stone in t seconds is given by x=80 t-16 t^ 2 …
• A man is walking on a road with a velocity 3 kmsh ^ -1 . Suddenly rain starts falling. The velocity of rain is 10 kmoh…
• Given below are two statements. STATEMENT - 1: An object can possess acceleration when it is moving with constant…
• A body falls from rest, its velocity at the end of first second is (g = 32 ft/sec 2 )
• If A u and A are unit vectors and θ is the acute angle between them, then 2 ~A 3 v is a unit vector for
• Given below are two statements. STATEMENT - 1: It is found that the speed of a moving particle is negative. STATEMENT …
• A boy playing on the roof of a 10m high building throws a ball with a speed of 10 m/s at an angle of 30 o with the…
• A policeman moving on a highway with a speed of 30 kmh ^ -1 fires a bullet at a thief's car speeding away in the same…
• A particle moves along a straight line OX. At a time t (in seconds) the distance x (in meters) of the particle from O…
• A ball thrown by one player reaches the other in 2 sec. the maximum height attained by the ball above the point of…
• A projectile is thrown from a point in a horizontal plane such that its horizontal and vertical velocity components are…
• Given below are two statements. Statement - 1: If a particle is projected from the ground with some velocity (not very…
• A car accelerates from rest at constant rate for first 10 s and covers a distance x. It covers a distance y in next 10…
• A stone falls from a balloon that is descending at a uniform rate of 12m/s. The displacement of the stone from the…
• A projectile is projected from the foot of an incline of angle 30 o with a velocity 30 m/s. The angle of projection as…
• Assertion: Straight line motion is the natural tendency of the body. Reason: Motion in a straight line is an example of…
• A person completes half of his journey with speed v1 and rest half with speed v2. The average speed of the person is
• Consider the acceleration, velocity and displacement of a tennis ball as it falls to the ground and bounces back…
• The adjoining curve represents the velocity-time graph of a particle, its acceleration values along OA , AB and BC in…
• For a projectile, the ratio of maximum height reached to the square of flight time is ( g = 10 ms 2 )
• A particle moves in a straight line, according to the law x = 4a [t + asin ( t a ) ], where x is its position in…
• A particle is located at x = 0. At time t = 0 it starts moving along the positive x-direction with a velocity 'v' that…
• Given below are two statements. STATEMENT - 1: The instantaneous velocity of a body may be equal to its average…
• A particle covers 150 m in 8th second starting from rest, its acceleration is:
• If two bodies are projected at 30o and 60o respectively, with the same speed, then
• Find time of flight of a projectile thrown horizontally with speed 10 ~ms ^ -1 from a long-inclined plane which makes…
• A boat which has a speed of 5 km/h in still water crosses a river of width 1 km along the shortest possible path in 15…
• A car moves at a speed of 2.24 km/h in the first minute, at 3.60 km/h in the second minute and at 5.18 km/h in the…
• Assertion: A body can have acceleration even if its velocity is zero at a given instant of time. Reason: A body is at…
• A block starts accelerating at 5 m/s 2 from rest on the frictionless surface. Calculate the distance travelled by the…
• Assertion: A body with constant acceleration always moves along a straight line. Reason: A body with constant…
• The position vector of a particle F as a function of time is given by: R =4 (2 t) i +4 (2 t) j Where R is in meters, t…
• The maximum range of rifle bullet on the horizontal ground is 6 km its maximum range on an inclined of 30 o will be
• The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an…
• A bus starts from rest with an acceleration of 1 m/s 2 . A man who is 48 m behind the bus starts with a uniform…
• A particle moves along a straight line such that at time t (in second) its displacement from a fixed point O on the…
• A body falling from a vertical height of 0.5 m pierced through a distance of 20 cm in sand. It faces an average…
• A small body is dropped from a rising balloon. A person A stands on ground, while another person B is on the balloon…
• Assertion: A negative acceleration of a body can be associated with a ‘speeding up’ of the body. Reason: Increase in…
• The co–ordinates of a moving particle at any time t are given by x = αt 3 and y = βt 3 . The speed of the particle at…
• 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…
• Rain is falling vertically downwards with a speed of 4 kmh ^ -1 . A girl moves on a straight, horizontal road with a…
• By which velocity a ball be projected vertically downward from a very tall building so that the distance covered by it…
• A river is flowing from west to east at a speed of 5 m/min. A man on the south bank of the river., capable of swimming…
• A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from rest at the top. How…
• A stone is thrown at an angle θ to the horizontal reaches a maximum height h. The time of flight of the stone is
• The range of projectile on a downward inclined plane is ……… the range on upward inclined plane for the same velocity of…
• 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…
• The displacement of a body at any time t after starting is given by s = 15t – 0.4t2. The velocity of the body will be 7…
• Two bullets are fired with horizontal velocities of 50 m/s and 100 m/s from two guns placed at a height of 19.6 m…
• A particle is moving eastwards with a velocity of 5 m/s. In 10s the velocity changes to 5 m/s northwards. The average…
• Ship A is travelling with a velocity of 5 kmh ^ -1 due east. The second ship is heading 30° east of north. What should…
• A body moves 6 m north, 8 m east and 10m vertically upwards, what is its resultant displacement from initial position…
• A particle moves along a straight line such that its displacement at any time t is given by s = 3t3 + 7t2 + 14t + 5 The…

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