Projectile Motion In Exercises 5558, consider a projectile
Chapter 9, Problem 9.5.57(choose chapter or problem)
Projectile Motion In Exercises 5558, consider a projectile launched at a height of h feet above the ground at an angle of with the horizontal. The initial velocity is feet per second and the path of the projectile is modeled by the parametric equations . The quarterback of a football team releases a pass at a height of 7 feet above the playing field, and the football is caught by a receiver at a height of 4 feet, 30 yards directly downfield. The pass is released at an angle of with the horizontal. (a) Write a set of parametric equations for the path of the football. (b) Find the speed of the football when it is released. (c) Use a graphing utility to graph the path of the football and approximate its maximum height. (d) Find the time the receiver has to position himself afterthe quarterback releases the football.
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