The free throw line in basketball is 4.57 m (15 ft) from the basket, which is 3.05 m (10 ft) above the floor. A player standing on the free-throw line throws the ball with an initial speed of 8.00 m/s, releasing it at a height of 2.58 m above the floor. At what angle above the horizontal must the ball be thrown to exactly hit the basket? Note that most players will use a large initial angle rather than a flat shot because it allows for a larger margin of error.
The free throw line in basketball is 4.57 m (15 ft) from the basket, which is 3.05 m (10 ft) above the floor. A player standing on the free-throw line throws the ball with an initial speed of 8.00 m/s, releasing it at a height of 2.58 m above the floor. At what angle above the horizontal must the ball be thrown to exactly hit the basket? Note that most players will use a large initial angle rather than a flat shot because it allows for a larger margin of error.
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 47P: A basketball player is standing on the floor 10.0 m from the basket as in Figure P3.47. The height...
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1. The free throw line in basketball is 4.57 m (15 ft) from the basket, which is 3.05 m (10 ft) above the floor. A player standing on the free-throw line throws the ball with an initial speed of 8.00 m/s, releasing it at a height of 2.58 m above the floor. At what angle above the horizontal must the ball be thrown to exactly hit the basket? Note that most players will use a large initial angle rather than a flat shot because it allows for a larger margin of error.
________________° above the horizontal
2.
An Olympic diver is on a diving platform 6.50 m above the water. To start her dive, she runs off of the platform with a speed of 1.27 m/s in the horizontal direction. What is the diver's speed, in m/s, just before she enters the water?
___________________m/s
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