A game requires that two children each throw a ball upward as high as possible from point O and then run horizontally in opposite directions away from O. The child who travels the greater distance before their thrown ball impacts the ground wins. If child A throws a ball upward with a speed of v1 = 59 ft/sec and immediately runs leftward at a constant speed of vA = 14 ft/sec while child B throws the ball upward with a speed of v2 = 56 ft/sec and immediately runs rightward with a constant speed of vB = 16 ft/sec, which child will win the game? Calculate the distances sA and sB that each child travels while the respective ball is in the air.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 3P: A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial...
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A game requires that two children each throw a ball upward as high as possible from point O and then run horizontally in opposite directions away from O. The child who travels the greater distance before their thrown ball impacts the ground wins. If child A throws a ball upward with a speed of v1 = 59 ft/sec and immediately runs leftward at a constant speed of vA = 14 ft/sec while child B throws the ball upward with a speed of v2 = 56 ft/sec and immediately runs rightward with a constant speed of vB = 16 ft/sec, which child will win the game? Calculate the distances sA and sB that each child travels while the respective ball is in the air.
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