Bob has just finished climbing a sheer cliff above a level beach and wants to figure out how high he climbed. All he has to use is a baseball, a stopwatch, and a friend on the ground below with a long measuring tape. Bob is a pitcher, and knows that the fastest he can throw the ball is about vo = 32.1 m/s. Bob starts the stopwatch as he throws the ball, with no way to measure the ball's initial trajectory, and watches carefully. The ball rises and then falls, and after t₁ = 0.710 s the ball is once again level with Bob. Bob cannot see well enough to time when the ball hits the ground. Bob's friend then measures that the ball hit the ground x = 129 m from the base of the cliff. How high h above the beach was the ball when it was thrown?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Bob has just finished climbing a sheer cliff above a level
beach and wants to figure out how high he climbed. All he
has to use is a baseball, a stopwatch, and a friend on the
ground below with a long measuring tape.
Bob is a pitcher, and knows that the fastest he can throw the
ball is about vo = 32.1 m/s. Bob starts the stopwatch as he
throws the ball, with no way to measure the ball's initial
trajectory, and watches carefully. The ball rises and then falls,
and after t₁ = 0.710 s the ball is once again level with Bob.
Bob cannot see well enough to time when the ball hits the
ground. Bob's friend then measures that the ball hit the
ground x = 129 m from the base of the cliff.
How high h above the beach was the ball when it
was thrown?
Transcribed Image Text:Bob has just finished climbing a sheer cliff above a level beach and wants to figure out how high he climbed. All he has to use is a baseball, a stopwatch, and a friend on the ground below with a long measuring tape. Bob is a pitcher, and knows that the fastest he can throw the ball is about vo = 32.1 m/s. Bob starts the stopwatch as he throws the ball, with no way to measure the ball's initial trajectory, and watches carefully. The ball rises and then falls, and after t₁ = 0.710 s the ball is once again level with Bob. Bob cannot see well enough to time when the ball hits the ground. Bob's friend then measures that the ball hit the ground x = 129 m from the base of the cliff. How high h above the beach was the ball when it was thrown?
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