Arugby player runs with the ball directly toward his opponent's goal, along the positive direction of an x axis. He can legally pass the ball to a teammate as long as the ball's velocity relative to the field does not have a positive × component. Suppose the player runs at speed 4.5 m/s relative to the field while he passes the ball with velocity O Bp relative to himself. If O Bp has magnitude 6.4 m/s, what is the smallest angle it can have (relative to the positive direction of the x axis) for the pass to be legal?

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section: Chapter Questions
Problem 87A
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Arugby player runs with the ball directly toward his opponent's goal, along the positive direction of an x axis. He can legally pass the ball to a teammate as long as the ball's velocity relative to the field does not have a positive × component. Suppose the player runs at speed 4.5 m/s relative to the field while he passes the ball with velocity O Bp relative to himself. If O Bp has magnitude 6.4 m/s, what is the smallest angle it can have (relative to the positive direction of the x axis) for the pass to be legal?

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