Answered: Representing the horizontal distance…

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

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 69P: A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0...

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In 1780, in what is now referred to as "Brady's Leap," Captain Sam Brady of the U.S. Continental Army escaped certain death from his enemies by running over the edge of the cliff above Ohio's Cuyahoga River, which is confined at that spot to a gorge. He landed safely on the far side of the river. It was reported that he leapt 22 ft across while falling 20 ft. (Figure 1)

A. Representing the horizontal distance jumped as L and the vertical drop as h , as shown in the figure, derive an expression for the minimum speed v he would need to make his leap if he ran straight off the cliff.

Express your answer in terms of the given quantities and appropriate constants.

B. Evaluate your expression for a 22 ft jump with a 20 ft drop to the other side.

C. Is it reasonable that a person could make this leap? Use the fact that the world record for the 100 m dash is approximately 10 s to estimate the maximum speed such a runner would have. (Yes or no answer)

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