The path of a projectile that is launched h feet above the

Chapter 9, Problem 59

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The path of a projectile that is launched h feet above the ground with an initial velocity of v0 feet per second and at an angle u with the horizontal is given by the parametric equations x = (v0 cos u)t and y = h + (v0 sin u)t - 16t 2 , where t is the time, in seconds, after the projectile was launched. A football player throws a football with an initial velocity of 100 feet per second at an angle of 40 to the horizontal. The ball leaves the players hand at a height of 6 feet. a. Find the parametric equations that describe the position of the ball as a function of time. b. Describe the balls position after 1, 2, and 3 seconds. Round to the nearest tenth of a foot. c. How long, to the nearest tenth of a second, is the ball in fl ight? What is the total horizontal distance that it travels before it lands? d. Graph the parametric equations in part (a) using a graphing utility. Use the graph to determine when the ball is at its maximum height. What is its maximum height? Round answers to the nearest tenth.