A golf coach is showing her athletes how to hit a golf ball from the ground. Using her driver, she hits a golf ball with an initial velocity of 250 ft/sec at anangle of 11.5 with the ground. After the ball hits the ground, it rolls for another 63 feet. While the ball is in air, it can be modeled with the parametricequations: z(t) = v, cos (e) t, y(t) = - 16t² + sin(e) t withz(t) as the horizontal position of the ball after tsecondsy(t) as the vertical position of the ball after tsecondsto as the initial velocity8 as the initial launch angleA. How long is the ball in the air before it first hits the ground?B. How far does the ball travel, including after it rolls to a stop?Use mathematics to justify your answers. Show your work in the space provided.

A. How long is the ball in the air before it first hits the ground?In the given parametric…

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