The figure shows the path for a baseball hit by Derek

Chapter 9, Problem 69

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The figure shows the path for a baseball hit by Derek Jeter. The ball was hit with an initial velocity of 180 feet per second at an angle of 40 to the horizontal. The ball was hit at a height 3 feet off the ground. a. Find the parametric equations that describe the position of the ball as a function of time. b. Describe the ball s position after 1, 2, and 3 seconds. Round to the nearest tenth of a foot. Locate your solutions on the plane curve. c. How long, to the nearest tenth of a second, is the ball in flight? What is the total horizontal distance that it travels before it lands? Is your answer consistent with the figure shown? d. You meet Derek Jeter and he asks you to tell him something interesting about the path of the baseball that he hit. Use the graph to respond to his request. Then verify your observation algebraically