A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 23.2 m/s at an angle of 47.0° to the horizontal. By how much does the ball clear or fall short of clearing the crossbar? (Enter a negative answer if it falls short. Does the ball approach the crossbar while still rising or while falling?

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
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A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 23.2 m/s at an angle of 47.0° to the horizontal.

  1. By how much does the ball clear or fall short of clearing the crossbar? (Enter a negative answer if it falls short.
  2. Does the ball approach the crossbar while still rising or while falling?

 

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