A diver launches herself off a springboard. The height of the diver, in metres, above the pool 1 seconds after launch can be modelled by the following function:
h(1) = 51 - 101 + 10,10
a How high is the springboard above the water?
(1 mark)
b Use the model to find the time at which the diver hits the water.
(3 marks)
< Rearrange h(t) into the form A - B(1-C) and give the values of the constants
A, B and C
(3 marks)
Using your answer to parte or otherwise, find the maximum height of the diver, and
the time at which this maximum height is reached.
(2 marks)