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A grasshopper can jump upto a height h F...

A grasshopper can jump upto a height `h` Find the maximum distance through which it can jump along the horizontal ground.

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The grasshopper can jump upto a height `h`. It means the maximum possible height it can achieve, i.e., when it jumps vertically.
Since `h = (v^2 sin^2 theta)/(2 g)`, when `theta = 90^@`,
`h = (v^2)/(2 g) rArr v^(2) = 2 g h`...(i)
Now, maximum range,`(v^2)/(g) = (2 g h)/(g) = 2 h rArr R = 2 h`.
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