A rugby 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 x component. Suppose the player runs at speed 4.0 m/s relative to the field while he passes the ball with velocity relative to himself. If has magnitude 6.0 m/s, what is the smallest angle it can have for the pass to be legal?

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
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A rugby 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 x component. Suppose the
player runs at speed 4.0 m/s relative to the field while he passes the
ball with velocity relative to himself. If has magnitude
6.0 m/s, what is the smallest angle it can have for the pass to be legal?

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