If velocity of particle moving along x- axis is given as v = k√ x . Then ( a is acceleration

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2.Motion in Straight Line

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If velocity of particle moving along $x-$ axis is given as $v = k\sqrt x $ . Then ($a$ is acceleration)

A

$x \propto \sqrt t $

B

$x \propto t$

C

$a \propto x$

D

$a =$ constant

Solution

$a=v \frac{d v}{d x} \Rightarrow a=k \sqrt{x}\left(\frac{k}{2 \sqrt{x}}\right)=\frac{k^{2}}{2}=$ constant

Standard 11

Physics

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