A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?

Resolve the initial velocity of 44 ft/s into horizontal and vertical components. The horizontal component is 44 cos(60°), so x(t) = 44 cos(60°)t; the vertical component is 44 sin(60°). With gravity acting downward at 32 ft/s², the vertical position includes −16t², giving y(t) = −16t² + 44 sin(60°)t. These equations match choice D.

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