Question

A diver dives from a 10m springboard. the equation f(t) = -4.9t² + 4t + 10 models her height above the pool at time t. When will she be at her highest?

Answer 1

At time t = 0.408 sec diver will be at maximum height

Explanation:

We have given equation of the height
`f(t)=-4.9t^2+4t+9`

We know that velocity is the rate of change of distance with respect to time

So
`v=(df(t))/(dt)=(df(-4.9t^2+4t+10))/(dt)=-9.8t+4+0=-9.8t+4`

At maximum height velocity will be zero

So
`-9.8t+4=0`

t = 0.408 sec

So at time t = 0.408 sec diver will be at maximum height