A car of mass 500 kg starting from rest with uniform acceleration reaches a velocity of 12 ms^-1 in 10 seconds and travels with this velocity for 20 seconds. It then decelerates steadily and comes to rest in 5 seconds. Determine:

(i) the acceleration of the car in the first 10 s. [2 mks]

(ii) the force acting on the car during this acceleration. [2 mks]

(iii) the total distance travelled by the car. [3 mks]

(b) Describe how the kinetic energy changes for the car for the entire duration of the journey.