a. The distance, d covered by an object moving with a constant acceleration is partly constant and partly varies as the square of the velocity, v of the object at a specified time. A body moving with velocity 8 m/s covered a distance of 12 m and when the velocity was 12 m/s, the distance was 32 m. Find
i. An expression relating the distance covered and velocity at that time.
ii. The distance when the velocity is 16 m/s.
iii. The velocity when distance is 96 m.