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

Options

A. `5sqrt(2)m`
B. `10sqrt(2)m`
C. `20 sqrt(2)m`
D. `40 sqrt(2)m`

Answer

C

Explanation

`R_(max) = (u^(2))/(g) = 1.6 m` (at `theta = 45^(@))`
or `u = sqrt(16) = 4ms^(-1)`
Now, `T = (2u_(y))/(g) = (2(4//sqrt(2)))/(10) = (4)/(5sqrt(2))s`
`:.` Total distance travelled in `10s = 1.6 xx (10)/(4//5sqrt(2)) = 20 sqrt(2)m`