The path of a thrown ball can be represented by the relation:
h(d) = -(1/150)d^2 + (2/5)d + (3/2)
where d metres is the horizontal distance travelled and h(d) metres is the height.
(a) What is the maximum height reached by the ball?
(b) What horizontal distance has the ball travelled when it reaches its maximum height?
Answer key: (a) 7.5m (b) 30m