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 an angle 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 parametric equations: z(t) = v, cos (e) t, y(t) = 16t² + sin(e) t with z(t) as the horizontal position of the ball after tseconds y(t) as the vertical position of the ball after tseconds to as the initial velocity 8 as the initial launch angle A. 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 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 an angle 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 parametric equations: z(t) = v, cos (e) t, y(t) = 16t² + sin(e) t with z(t) as the horizontal position of the ball after tseconds y(t) as the vertical position of the ball after tseconds to as the initial velocity 8 as the initial launch angle A. 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.