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.
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section: Chapter Questions
Problem 87A
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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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