A grass hopper can jump maximum distance 1.6 m. It spends negligible time on ground. How far can it go in 2√2s (in meters)?

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5 months ago

Maximum range is obtained at 45?
u²/g = 1.6 or u = 4m/s
T = (2u sin 45? )/g = (2*4* (1/√2)/10 = 0.4√2s
Number of jumps in a given time, n = t/T = 2√2 / 0.4√2 = 5

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