If velocity v of a particle moving along a straight line decreases linearly with its displacement s

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2.Motion in Straight Line

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If the velocity $v$ of a particle moving along a straight line decreases linearly with its displacement $s$ from $20\,ms ^{-1}$ to a value approaching zero at $s=30\,m$, then acceleration of the particle at $s=15\,m$ is $........$

A

$\frac{2}{3}\,ms ^{-2}$

B

$-\frac{2}{3}\,ms ^{-2}$

C

$\frac{20}{3}\,ms ^{-2}$

D

$-\frac{20}{3}\,ms ^{-2}$

Solution

(d)

$a=v\left(\frac{d v}{d s}\right)=(10)\left(-\frac{20}{30}\right)=-\frac{20}{3}\,m / s ^2$

Standard 11

Physics

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