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.

When brakes are applied to a bus, the retardation produced is 25 cm s^-2 and the bus takes 20 s to stop.

Calculate —

(i) the initial velocity of bus, and

(ii) the distance travelled by bus during this time.

A body moving with a constant acceleration travels the distances 3 m and 8 m respectively in 1 s and 2 s.

Calculate —

(i) the initial velocity, and

(ii) the acceleration of body.

A car travels with a uniform velocity of 25 m s^-1 for 5 s. The brakes are then applied and the car is uniformly retarded and comes to rest in further 10 s.

Find —

(i) the distance which the car travels before the brakes are applied,

(ii) the retardation and

(iii) the distance travelled by the car after applying the brakes.