(a) Calculate the vertical take-off speed necessary to achieve this height. (b) The competitor must also have some forwards (horizontal) motion in order to make the jump othewise he would just jump straight up and down and not clear the bar. Calculate the take-off velocity vector (speed and angle to the horizontal) a competitor would require to successfully make the jump. Clearly explain any assumptions you make in your analysis.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
Problem 12PQ
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Q1. The world high jump record for men stands at 2.45 m. This involves the 75 kg competitor raising his centre of
mass from 1.05 m above the ground to a height of 2.50 m above the ground.
(a) Calculate the vertical take-off speed necessary to achieve this height.
(b) The competitor must also have some forwards (horizontal) motion in order to make the jump - othewise he
would just jump straight up and down and not clear the bar. Calculate the take-off velocity vector (speed
and angle to the horizontal) a competitor would require to successfully make the jump. Clearly explain any
assumptions you make in your analysis.
Transcribed Image Text:Q1. The world high jump record for men stands at 2.45 m. This involves the 75 kg competitor raising his centre of mass from 1.05 m above the ground to a height of 2.50 m above the ground. (a) Calculate the vertical take-off speed necessary to achieve this height. (b) The competitor must also have some forwards (horizontal) motion in order to make the jump - othewise he would just jump straight up and down and not clear the bar. Calculate the take-off velocity vector (speed and angle to the horizontal) a competitor would require to successfully make the jump. Clearly explain any assumptions you make in your analysis.
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