Solving problems based on the equations of motion

Two stones are thrown vertically upwards simultaneously with their initial velocities u₁ and u₂ respectively. What is the ratio of the heights reached by them ( assume acceleration is g downwards)?

A bus staring from rest moves with a uniform acceleration of 0.1 m/sec² for 2 minutes. The speed acquired by the bus is:

A bicycle is travelling at a speed of 25 m/sec. Brakes are applied so as to produce a uniform acceleration of -0.5 m/sec². Find how far the train will go before it bought to rest?

A racing car has uniform acceleration of 4 m/s². What distance will it cover in 10 s after start?

The Brakes applied to a bike to attain an acceleration of 6 m/sec² in the opposite direction to motion. If the car takes 2 sec to stop after the application of brakes, calculate the distance it travels during this time

A car accelerates from rest at  a constant rate of 2 m/sec² for some time. Then, it retards at a constant rate of 4 m/sec² and comes to rest. It remains in motion for 3 sec, then the maximum speed attained by the car is:

Question: A bus accelerates uniformly from rest to 36 km/hr in 5 sec, calculate the acceleration

A bullet initially moving with a velocity of 20 m/sec strikes a target and comes to rest after penetrating a distance of 10 cm in the target. Calculate the retardation caused by the target.

A car initially at rest starts moving with a constant acceleration of 0.5 m/sec² and it travels a distance of 25 m. Find its final velocity.

A stone is dropped from the top of a tower reaches the ground in 3 sec. The height of the tower is

A body freely falling from rest has a velocity v after its falls through a distance h. The distance it has to fall down further, for its velocity to become double is:

A stone is thrown in vertically upward direction with a velocity of 5 m/s. If the acceleration of the stone during its motion is 10 m/s² in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?

A car travelling with a speed of 60 km/hr  can brake to stop in a distance of 20 m. If the car is going as twice as fast i.e. 120 km/hr. The stopping distance will be (assume constant retardation)

A ball of mass 200 g is thrown up with a certain velocity reaches  maximum height of 30m. Another body of double the mass is thrown up with half the velocity of first. Maximum height reached by it is

A ball is gently dropped from a height of 20 m. if its velocity increases uniformly at the rate of 10 m/sec². With what velocity will it strike the ground?