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 7.15 m/s, releasing it at a height of 2.44 m (8 ft) 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. Explicitly show how you follow the steps involved in solving projectile motion problems.
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 7.15 m/s, releasing it at a height of 2.44 m (8 ft) 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. Explicitly show how you follow the steps involved in solving projectile motion problems.
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 7.15 m/s, releasing it at a height of 2.44 m (8 ft) 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. Explicitly show how you follow the steps involved in solving projectile motion problems.
A lifeguard stands on top of a watch tower at the beach and purposely throws a stone horizontally with a speed of vi=18.0 m/s. The height of the tower is 50.0 m above the ground.
With what speed does the stone land?
How long after being released does the stone strike ground?
With what angle of impact does the stone land?
An Olympic diver is on a diving platform 4.60 m above the water. To start her dive, she runs off of the platform with a speed of 1.23 m/s in the horizontal direction. What is the diver's speed, in m/s, just before she enters the water?
m/s
A physics student stands on a cliff overlooking a lake and decides to throw a golf ball to her friends in the water below. She
throws the golf ball with a velocity of 20.5 m/s at an angle of 40.5° above the horizontal. When the golf ball leaves her hand, it is
18.5 m above the water. How far does the golf ball travel horizontally before it hits the water? Neglect any effects of air
resistance when calculating the answer.
horizontal distance:
m
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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