Projectile Motion In Exercises 5558, consider a projectile

Chapter 9, Problem 9.5.58

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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 To begin a football game, a kicker kicks off from his teams 35-yard line. The football is kicked at an angle of with the horizontal at an initial velocity of 85 feet per second. (a) Write a set of parametric equations for the path of the kick. (b) Use a graphing utility to graph the path of the kick and approximate its maximum height. (c) Use a graphing utility to find the horizontal distance that the kick travels. (d) Explain how you could find the result in part (c) algebraically.

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