Emily throws a soccer ball out of her dorm window to Allison, who is waiting below to catch it. If Emily throws the ball at an angle of 30∘ below the horizontal with a speed of 14m/s, how far from the base of the dorm should Allison stand to catch the ball? Assume the vertical distance between where Emily releases the ball and Allison catches it is 8.0m. Express your answer with the appropriate units

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: Motion In Two Dimensions
Section: Chapter Questions
Problem 35AP
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Emily throws a soccer ball out of her dorm window to Allison, who is waiting below to catch it.
If Emily throws the ball at an angle of 30∘ below the horizontal with a speed of 14m/s, how far from the base of the dorm should Allison stand to catch the ball? Assume the vertical distance between where Emily releases the ball and Allison catches it is 8.0m.
Express your answer with the appropriate units
 
 

 

Expert Solution
Step 1

Given:

The initial speed of the ball is 14 m/s.

The angle projection below the horizontal is 30°.

The vertical distance is 8 m.

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