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A grass hopper can jump maximum distance...

A grass hopper can jump maximum distance `1.6m.` It spends negligible time on ground. How far can it go in `10(sqrt2)`s?

Text Solution

Verified by Experts

Horizontal distance travelled by grasshopper will be maximum for `theta = 45^@`
`R_(max) = (u^2)/(g) = 1.6 m`
`rArr u = 4 m s^-1`
Horizontal component of velocity of grasshopper
`u cos theta = 4 cos 45 = 2 sqrt(2) m s^-1`
Total distance covered by it in `10 s`.
`S = u cos theta xx t = 2 sqrt(2) xx 10 = 20 sqrt(2) m`.
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