Question

When a ball is dropped unto a floor, it always rebound a distance equal to 3/2 of the height it fell. If the original height was Hmeters, how high will it rise after the 5th bounce

Answer 1

When a ball is dropped unto a floor, it always rebound a distance equal to 3/2 of the height it fell. If the original height was H meters, how high will it rise after the 5th bounce

After first bound

$$H_1=(3/2)^1H$$

After 5th bound

$$H_5=(3/2)^5H=(243/32)H$$