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A pitcher throws a ball to the catcher at a speed of 100 mi/h(45 m/s). If the ve

ID: 1666301 • Letter: A

Question

A pitcher throws a ball to the catcher at a speed of 100 mi/h(45 m/s). If the velocity of the ball is horizontal when itleaves the pitcher's hand, how far (vertically) will it fallon the way to the catcher? The distance from the pitcher to catcheris 60.5 ft. Express answer in meter and in feet. A pitcher throws a ball to the catcher at a speed of 100 mi/h(45 m/s). If the velocity of the ball is horizontal when itleaves the pitcher's hand, how far (vertically) will it fallon the way to the catcher? The distance from the pitcher to catcheris 60.5 ft. Express answer in meter and in feet.

Explanation / Answer

60.5ft * (1m/3.28ft) = 18.45m x = voxt t = 18.45m/45m/s = 0.41s y = voyt + 1/2gt2Since the ballleaves from his hand completely horizontal, there is no initialspeed in the y-direction y = 1/2gt2 = 1/2 * 9.8m/s2 * (0.41s)2 = 0.83m or(0.83m * (3.28ft/1m)) 2.7ft Hope that helps