A grass hopper can jump a maximum horizontal distance of 20 cm. If it spends negligible time on the ground, what is its speed (in ms–1) of travel along the road.(g = 10 m/s2)

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A grass hopper can jump a maximum horizontal distance of 20 cm. If it spends negligible time on the ground, what is its speed (in ms^–1) of travel along the road.(g = 10 $m / s^{2}$ )

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Detailed Solution

(1)
Maximum horizontal range is u²/g=20cm=0.2m or u²=0.2xg=0.2x10=2 or
u= $\sqrt{2} m / s$ therefore, vx=ucos 45⁰= $\sqrt{2} x \frac{1}{\sqrt{2}}$ =1m/s.