Question

A golf ball，thrown upwards ，rises at a speed of V metres per second the ball reaches a maximum height of h metres. h is proportional to the square of v.

when v =20, h=8
work out the maximum height reached by the golf ball when v =35

Answer 1

24.5m

Explanation:

given h is proportional to v² or

h ∝ v²

we can write this in terms of constant k

h = kv²

given h = 8 when v = 20

h = kv²

8 = k 20²

8 = 400k

k = 8/400 = 0.02

hence our equation becomes

h = 0.02v²

when v = 35

h = 0.02 (35²)

h = 24.5 meters