⚡Chapter Practice
Kinematics — JEE Practice
63 practice questions across 4 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.
4 Topics63 Questions
Motion in a Straight Line(17 Qs)
easy (6)
Q1A car travels 60 km in the first hour and 40 km in the second hour. Its average speed is:Q2The slope of a distance-time graph gives:Q3A body starts from rest with uniform acceleration 2 m/s². Its velocity after 5 s is:Q4The displacement-time graph of a body moving with constant velocity is a:Q5An object is thrown vertically upward. At the highest point, its:Q6The distance covered by a freely falling body in 3 seconds (g=10 m/s²) is:
medium (6)
Q1A particle moves with velocity v = 3t² − 6t + 2 m/s. Its acceleration at t = 2 s is:Q2A ball is thrown upward at 20 m/s. The time to reach the maximum height is (g=10 m/s²):Q3Two cars start simultaneously from the same point. Car A has constant velocity 20 m/s, car B starts from rest with acceleration 4 m/s². They meet again after:Q4A stone is dropped from a tower 80 m high. Time to reach the ground (g=10 m/s²):Q5The velocity-time graph of a body is a straight line with negative slope. This represents:Q6A body covers 10 m in the 3rd second of its motion starting from rest. Its acceleration is:
hard (5)
Q1A particle's position varies as x = 2t³ − 9t² + 12t + 5. The time at which the particle has zero velocity is:Q2A body is dropped from height H. After falling through h, it takes time t₁ to reach the ground. Without the initial fall of h, the total time would be t₂. Then t₁/t₂ equals:Q3Two balls are dropped from heights h₁ and h₂ (h₁ > h₂). The ratio of their velocities on reaching the ground is:Q4A particle starts from rest. The ratio of distances covered in the 1st, 2nd, and 3rd seconds is:Q5A ball is thrown vertically upward at 40 m/s. Another ball is thrown upward from the same point at the same speed, 2 s later. They meet at (g=10 m/s²):
Projectile Motion(16 Qs)
easy (5)
Q1The horizontal range of a projectile is maximum when the angle of projection is:Q2A ball is projected horizontally from a cliff. Its horizontal velocity:Q3The time of flight of a projectile launched at angle θ with velocity u is:Q4At the highest point of projectile motion, the velocity is:Q5Two projectiles are launched at 30° and 60° with the same speed. Their ranges are:
medium (6)
Q1A projectile is launched at 60° with velocity 20 m/s. The maximum height reached is (g=10 m/s²):Q2A ball is thrown horizontally at 10 m/s from 80 m height. The horizontal range is (g=10 m/s²):Q3The velocity of a projectile at the highest point is half of its velocity of projection. The angle of projection is:Q4A projectile has the same range for angles 30° and 60°. The ratio of their maximum heights is:Q5The equation of trajectory of a projectile is y = x − x²/80. The range of the projectile is:Q6A projectile is launched at 30° with velocity 40 m/s. Its time of flight is (g=10 m/s²):
hard (5)
Q1Two projectiles are launched simultaneously from two points on the ground 100 m apart. First is launched at 45° with 50 m/s, second at 45° with 40 m/s toward the first. Time at which they collide:Q2A projectile is launched from a point on an inclined plane (inclination α) along the plane with velocity u. The range along the incline is:Q3A stone is projected from ground with velocity 25 m/s. Two seconds later, another stone is projected from the same point to hit the first stone at a height of 20 m. The required velocity of the second stone is:Q4The radius of curvature of the trajectory of a projectile at the highest point (velocity v₀ at angle θ) is:Q5A particle projected from origin has its trajectory y = x − x²/40 (SI units). The angle it makes with x-axis after 2 s is (g=10 m/s²):
Relative Motion(15 Qs)
easy (5)
Q1Two cars move in the same direction with speeds 40 km/h and 60 km/h. The velocity of the faster car relative to the slower one is:Q2A boat moves at 5 km/h in still water. If the river flows at 3 km/h, the speed of the boat downstream is:Q3Rain falls vertically. A person walking at 5 km/h should hold the umbrella at an angle θ where tanθ =:Q4Two trains of length 100 m each move in opposite directions at 30 m/s and 20 m/s. Time to cross each other:Q5If velocity of A relative to B is 10 m/s east, and B moves at 5 m/s east, velocity of A is:
medium (5)
Q1A boat can travel at 10 m/s in still water. A river 200 m wide flows at 6 m/s. The minimum time to cross is:Q2To cross a river in shortest path (no drift), a boat (speed v_b) must aim at angle θ upstream where sinθ =:Q3A particle A is at origin, B is at (3,4) m. A moves at 4 m/s along +x, B moves at 3 m/s along +y. The closest distance between them is:Q4Two ships move from the same port. Ship A goes north at 30 km/h, ship B goes east at 40 km/h. Their separation rate after 2 hours is:Q5A man can swim at 4 km/h in still water. A river 1 km wide flows at 3 km/h. Time to reach a point directly opposite:
hard (5)
Q1Rain falls at 10 m/s at 30° with vertical. A person runs at 10 m/s. The speed of rain as seen by the person when running into the rain is:Q2A bird flies at speed v between two trains approaching each other at speed u each from distance d apart. The total distance the bird flies before trains meet is:Q3Two particles start from origin at t=0. Particle 1: x₁ = 5t, y₁ = 0. Particle 2: x₂ = 5cos(ωt), y₂ = 5sin(ωt) with ω = π/6 rad/s. The relative velocity at t = 2 s is closest to:Q4A boat crosses a 400 m wide river in 4 min. It is carried 300 m downstream. The speed of the boat in still water is:Q5Two particles move along perpendicular directions with velocities v₁ and v₂. The angle made by the relative velocity vector with v₁ is:
Circular Motion(15 Qs)
easy (5)
Q1The centripetal acceleration of a body moving in a circle of radius 2 m with speed 4 m/s is:Q2The direction of centripetal acceleration is always:Q3A body completes one revolution of radius 1 m in 2 s. Its angular velocity is:Q4The SI unit of angular velocity is:Q5A car goes around a circular track of radius 100 m in 20 s. Its speed is:
medium (5)
Q1A stone of mass 0.5 kg tied to a 1 m string rotates in a vertical circle. Minimum speed at the top to maintain the circular path is:Q2The maximum speed at which a car can take a circular turn of radius 50 m on a flat road with μ = 0.5 is (g=10 m/s²):Q3A conical pendulum has string length L and makes angle θ with vertical. The time period is:Q4On a banked road of angle θ without friction, the safe speed for a car on a curve of radius r is:Q5A particle moves in a circle of radius 5 m with speed increasing at 3 m/s². When speed is 4 m/s, the net acceleration is:
hard (5)
Q1A particle moves in a circle of radius R. Its distance from the starting point after completing 7/4 of a revolution is:Q2In a vertical circular loop of radius R, a body has velocity v at the bottom. For it to complete the loop, the minimum value of v is:Q3A hemispherical bowl of radius R is placed with its rim horizontal. A small ball is released from the rim. The normal force at the bottom of the bowl is:Q4A car moves on a banked circular road. If the banking angle is 30° and μ = 0.5, the ratio of maximum safe speed to minimum safe speed is:Q5A bead slides without friction on a vertical circular wire of radius R. It is released from the top. The angle at which it leaves the wire is:
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