Projectile Motion In Exercises 5558, consider a projectile

Chapter 9, Problem 9.5.56

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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 The right field fence in a ballpark is 10 feet high and 314 feet from home plate. A baseball is hit at a point 2.5 feet above the ground. It leaves the bat at an angle of with the horizontal at a speed of 105 feet per second. (a) Write a set of parametric equations for the path of the baseball. (b) Use a graphing utility to graph the path of the baseball and approximate its maximum height. (c) Use a graphing utility to find the horizontal distance that the baseball travels. Is the hit a home run? (d) Explain how you could find the result in part (c) algebraically

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