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A scientist records the motion of a dolphin as it jumps from the water. The function h(t)=−16t 2 32tmodels the dolphin's height in feet above the water after t seconds.



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The function \( h(t) = -16t^2 + 32t \) models the height, in feet, of the dolphin above the water after \( t \) seconds.

The term \( -16t^2 \) represents the effect of gravity pulling the dolphin downward, while \( 32t \) represents the initial velocity and motion of the dolphin upward.

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