A soccer ball on the ground is kicked with an initial velocity of 37 feet per second at an elevation angle of 70°. Which parametric equations represent the path of the soccer ball?

Resolve the initial velocity into horizontal and vertical components: the horizontal speed is 37 cos(70°), and the vertical speed is 37 sin(70°). Thus x(t) = 37 cos(70°)t. Since the ball starts on the ground, its initial height is 0, and gravity gives y(t) = −16t² + 37 sin(70°)t. These are the equations in choice A.

AI-written and checked against the verified answer.