rasshopper wants to jump over a thin vertical wall with the minimal possible jumping speed. The wall is h = 30 cm high and it is at distance d = 40 cm from the grasshopper. What should be the initial speed of the grasshopper? The gravitational acceleration is g = 9.8 m/s2 . Hint: The trajectory is not symmetrical to the wall. Express the starting speed v0 of the grasshopper in terms of the initial angle of elevation α, and then find the maximum of the v0(α) function
rasshopper wants to jump over a thin vertical wall with the minimal possible jumping speed. The wall is h = 30 cm high and it is at distance d = 40 cm from the grasshopper. What should be the initial speed of the grasshopper? The gravitational acceleration is g = 9.8 m/s2 . Hint: The trajectory is not symmetrical to the wall. Express the starting speed v0 of the grasshopper in terms of the initial angle of elevation α, and then find the maximum of the v0(α) function
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 8CQ: Answer the following questions for projectile motion on level ground assuming negligible air...
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A grasshopper wants to jump over a thin vertical wall with the minimal possible jumping speed.
The wall is h = 30 cm high and it is at distance d = 40 cm from the grasshopper. What should be the initial speed of the grasshopper? The gravitational acceleration is g = 9.8 m/s2 .
Hint: The trajectory is not symmetrical to the wall. Express the starting speed v0 of the grasshopper in terms of the initial angle of elevation α, and then find the maximum of the v0(α) function
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