A competitive diver executes a double somersault with a twist from a platform. Her height above the water t seconds after leaving the board is given in feet by h = − 16 t 2 + 0 t + 16 How long does she have to complete her somersault before entering the water?

One second

Explanation:

Her height above water as function of time after leaving the board is:

When she enters the water the height above the board is zero so h(t)=0, using that on (1):

solving equation for t:

s

Mathematically there're in fact two possible values for t, -1 and 1 but because we're talking of time negative sign has no physical sense then we only use 1.

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the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.