Motion

A stone dropped from the top of a cliff strikes the ground in 4 seconds. How much more time will it take to strike if the cliff was 4 times as high?

The displacement of a particle is given by x = (t - 2)^2. When will the velocity be zero?

A body moves with uniform acceleration 'a' and initial velocity 'u'. The distance traveled by it in the 'nth' second is:

A car accelerates from rest at a constant rate 'α' for some time, after which it decelerates at a constant rate 'β' and comes to rest. If the total time elapsed is 'T', the maximum velocity acquired by the car is:

If a ball is thrown vertically upwards with a velocity of 40 m/s, what is the distance covered in the last second of its upward journey?

A ship A is moving Westwards with a speed of 10 km/h and a ship B 100 km South of A, is moving Northwards with a speed of 10 km/h. The time after which the distance between them becomes shortest is:

A stone is dropped from a balloon rising upwards with a velocity of 12 m/s. If the balloon is at a height of 65m when the stone is dropped, how long will the stone take to reach the ground? (g=10 m/s^2)

The distance x of a particle varies with time t as x = at^2 - bt^3. The acceleration of the particle will be zero at time t equals to:

A body is moving with constant acceleration. If the distances traveled in 'p'th and 'q'th seconds are 'x' and 'y' respectively, then the acceleration is:

A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm. How much further will it penetrate before coming to rest?

A person standing on the edge of a cliff throws one ball vertically upwards and another ball vertically downwards with the same speed. Which ball hits the ground with greater speed?

A particle starts from rest and moves with an acceleration that increases linearly with time as a = kt. The velocity after time 't' will be:

A body covers 12m in the 2nd second and 20m in the 4th second. How much distance will it cover in 4 seconds?

What is the angle between velocity and acceleration in a uniform circular motion?

A tap drips at a rate of 1 drop per second. What is the distance between the 1st and 2nd drops when the 1st drop has been falling for 3 seconds? (g=10 m/s^2)

A ball is thrown horizontally from a height of 20m with a velocity of 5 m/s. Where will it land relative to the tower? (g=10 m/s^2)

The velocity of a particle at any time t is given by v = 2t(3-t). At what time is the velocity maximum?

A stone is dropped from a height. If it covers the last 44.1m in the last second, find the total time of fall. (g=9.8 m/s^2)

Which of the following speed-time graphs represents a body whose speed is decreasing linearly?

A car travels half of the distance at speed v1 and the other half at speed v2. The average speed is: