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
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Chapter4: Motion In Two And Three Dimensions
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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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