Question

A diver is on the 10 m platform, preparing to perform a dive. The diver’s height above the water, in metres, at time t can be modelled using the equation

h(t)= 10+ 2t - 4.9t^2.

a) Determine when the diver will enter the water.
b) Estimate the rate at which the diver’s height above the water is
changing as the diver enters the water.

Answers

amber
10 + 2t - 4.9t² = 0

t = 1.647 s

b) take the derivative and plug in 1.647 s

dh/dt = 2 - 9.8 t
dh/dt = 2 - 9.8 (1.647 ) = -14.14 m/s

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