A grasshopper can jump maximum distance 1.6 m . It negligible time of ground. How far can it go in 1

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3-2.Motion in Plane

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A grasshopper can jump maximum distance $1.6\; m$. It negligible time of the ground. How far can it go in $10 \;s$?

A

$5\sqrt 2 \,m$

B

$10\sqrt 2 \,m$

C

$20\sqrt 2 \,m$

D

$40\sqrt 2 \,m$

Solution

$\theta = 45^\circ $

${R_{\max }} = \frac{{{u^2}}}{g} = 1.6\,m$

$\Rightarrow \,u = 4\,m/s$

$u\cos \theta = 4\cos 45$ $ = 2\sqrt {2\,} \,m/s$

$S = u\cos \theta \times t$

$\therefore S = 2\sqrt 2 \times 10$

$\therefore S = 20\sqrt 2 \,m$

Standard 11

Physics

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