A coach throws a football from a height of 4 feet with an initial velocity of 59 feet per second at an elevation angle of 45°. Which parametric equations represent the path of the football?

Resolve the initial velocity into horizontal and vertical components: the horizontal component is 59 cos(45°), and the vertical component is 59 sin(45°). Thus x(t) = 59 cos(45°)t, while vertical motion follows y(t) = −16t² + 59 sin(45°)t + 4, where −16t² accounts for gravity and 4 is the starting height. These equations match choice C.

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