Kinematics Test...

An object moves, starting from rest through a resistive medium such that its acceleration is related to velocity as, a = 3 – 2v. Then,

A car accelerates from rest at constant rate for first 10 s and covers a distance x. It covers a distance y in next 10s at the same acceleration. Which of the following is true?

A bullet loses 1/20 of its velocity after penetrating a plank. How many planks are required to stop the bullet?

A body travelling along a straight line traversed one-third of the total distance with a velocity 4 ms^-1. The remaining part of the distance was covered with a velocity 2 ms^-1 for half the time and with velocity 6 ms^-1 for the other half of time. The average velocity over the whole time of motion is

A particle moving in a straight line covers half the distance with speed of 3 m/s. The other half of the distance is covered in two equal time intervals and with speeds of 4.5 m/s and 7.5 m/s, respectively. The average speed of the particle during this motion is

A train is moving qlong a straight path with uniform acceleration. Its engine passes across a pole with a velocity of 60 kmh^-1 and the end (guard’s van) passes across same pole with a velocity of 80 kmh^-1. The middle point of the train will pass across same pole with a velocity .

A ball is projected upwards from the foot of a tower. The ball crosses the top of the tower twice after an interval of 6 s and the ball reaches the ground after 12 s. The height of the tower is (take, g = 10ms^-2)

A ball is dropped from the roof of a tower of height h.The total distance covered by it h. the last second of its motion is equal to the distance covered by it in first 3s. The value of h in metre is (take, g=10 ms^-2)

A juggler maintains four balls in motion, making each of them to rise a height of 20 m from his hand. What time interval should be maintained for the proper distance between them? (take, g = 10 ms^-2)

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