Ida hit a golf ball from the top of a hill. The height of the ball above the green can be modelled by the regression equation

h(t) = -6.7t² + 48.4t + 11.5

where h represent the height in metres and y represents the time in seconds. For each answer explain the steps you followed to determine your answer.

a) When does the ball reach the maximum height?

b) What is the maximum height the ball reaches?

c) After how many seconds does the ball reach a height of 60 metres the first time?

d) How long is the ball in the air?

e) How high is the ball after 1 sec?