Prove the well-known result that, for a given launch speed vo, the launch angle 0 = 45° yields the maximum horizontal range R. Determine the maximum range if vo = 40 m/s. (Note that this result does not hold when aerodynamic drag is included in the analysis.)

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 94AP: On planet Arcon, the maximum horizontal range of a projectile launched at 10 m/s is 20 m. What is...
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Prove the well-known result that, for a given launch speed Vo, the launch angle 0 = 45° yields
the maximum horizontal range R. Determine the maximum range if vo = 40 m/s. (Note that
this result does not hold when aerodynamic drag is included in the analysis.)
Answer: R =
i
m
Transcribed Image Text:Prove the well-known result that, for a given launch speed Vo, the launch angle 0 = 45° yields the maximum horizontal range R. Determine the maximum range if vo = 40 m/s. (Note that this result does not hold when aerodynamic drag is included in the analysis.) Answer: R = i m
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