The Gap between the buildings is 4.5 m wide. The stuntman runs from one building roof to another building roof. The height between two building roofs is 1.9 m. Calculation: At the beginning, the stuntman runs horizontally off the roof. Therefore, the angle 0o = 0°. The horizontal distance is x = 4.5 m. The vertical distance is y = -1.9 m. Let the initial velocity be vo. Expression to find the initial speed of the stuntman (vo) is shown below: vo = +V- (1) Here, gis acceleration due to gravity. Refer “Appendix E" in the textbook for the gravity value of the Earth. The value of gravity is g = 9.81 m/s². Substitute 9.81 m/s² for g, 4.5 m for x, and –1.9m for y in Equation (1). (9.81 m/²) (4.5 m)* vo = + 2(-1,9 m) = +7.2 m/s The positive and negative sign of the result indicates the stuntmar may runoff the building to the left or right. Therefore, the running speed of the stuntman is vo = ±7.2 m/s.
The Gap between the buildings is 4.5 m wide. The stuntman runs from one building roof to another building roof. The height between two building roofs is 1.9 m. Calculation: At the beginning, the stuntman runs horizontally off the roof. Therefore, the angle 0o = 0°. The horizontal distance is x = 4.5 m. The vertical distance is y = -1.9 m. Let the initial velocity be vo. Expression to find the initial speed of the stuntman (vo) is shown below: vo = +V- (1) Here, gis acceleration due to gravity. Refer “Appendix E" in the textbook for the gravity value of the Earth. The value of gravity is g = 9.81 m/s². Substitute 9.81 m/s² for g, 4.5 m for x, and –1.9m for y in Equation (1). (9.81 m/²) (4.5 m)* vo = + 2(-1,9 m) = +7.2 m/s The positive and negative sign of the result indicates the stuntmar may runoff the building to the left or right. Therefore, the running speed of the stuntman is vo = ±7.2 m/s.
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 31P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...
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Good day to you
I was looking through a particular problem found in Richard Wolfson Essential University Physics Volume one, 4th Edition textbook, on chapter 3, problem 68. Your solution derives an inital speed equation, however, I don't know how it was derived. was it a manipulation of the x and y components of the v2 = v0^2 +2as or something else entirely?
Thanks in advance
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