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A grasshopper hops along a level road. On each hop, the grasshopper launches itself at angle...

A grasshopper hops along a level road. On each hop, the grasshopper launches itself at angle θ0=45∘ and achieves a range R = 0.85 m .

1.) What is the average horizontal speed of the grasshopper as it hops along the road? Assume that the time spent on the ground between hops is negligible.

Express your answer using three significant figures and include the appropriate units

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Answer #1

Range, R = u^2 sin2(theta) /g

0.85 = u^2 sin(90)/9.8

Initial speed, u = 2.89 m/s

Horizontal speed, vx = 2.89 cos45 = 2.04 m/s

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