A bullet initially moving with a velocity 20 m s^-1 strikes a target and comes to rest after penetrating a distance 10 cm in the target. Calculate the retardation caused by the target.

A train moving with a velocity of 20 m s^-1 is brought to rest by applying brakes in 5 s. Calculate the retardation.

A train is moving with a velocity of 90 km h^-1. It is brought to stop by applying the brakes which produce a retardation of 0.5 m s^-2.

Find —

(i) the velocity after 10 s, and

(ii) the time taken by the train to come to rest.

A car travels a distance 100 m with a constant acceleration and average velocity of 20 m s^-1. The final velocity acquired by the car is 25 m s^-1.

Find:

(i) the initial velocity and

(ii) acceleration of car.