Projectile Motion Drew Brees throws a football with an initial speed of 80 feet per second at an angle of 35° to the horizontal.The ball leaves Brees’s hand at a height of 6 feet. 

(a) Find parametric equations that model the position of the ball as a function of time. 

(b) How long is the ball in the air? 

(c) When is the ball at its maximum height? Determine the maximum height of the ball. 

(d) Determine the horizontal distance that the ball travels. 

(e) Using a graphing utility, simultaneously graph the equations found in part (a).