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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?

A

45 m

B

30 m

C

20 m

D

40 m

Text Solution

Verified by Experts

The correct Answer is:
D
Maximum range is obtained at `45^@`.
`u^2/g = 1.6 or u=4m//s`
`T = (2usin45^@)/g = (2xx4xx(1//sqrt2))/10`
`= 0.4(sqrt2)s`
Number of jumps in given time,
`n = t/T = (10(sqrt2))/(0.4(sqrt2)) = 25`
`:.` Total distance travelled `= 1.6 xx 25 = 40 m.`
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