1. A ball is thrown from a balcony and the path of the ball is given by the equation: h = - 5t² + 40t + 25, where h, is the height of the ball in metres and t, is the time in seconds.
Determine:
a) the height of the balcony
b) the time taken for the ball to reach its maximum height
c) the maximum height the ball achieves
d) the time taken for the ball to hit the ground
e) the time taken for the ball to reach the height of the balcony on its way down.​