A particle initially at rest moves along x -axis. Its acceleration varies with time as a=4,t . If it

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2.Motion in Straight Line

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A particle initially at rest moves along the $x$-axis. Its acceleration varies with time as $a=4\,t$. If it starts from the origin, the distance covered by it in $3\,s$ is $...........\,m$

A

$12$

B

$18$

C

$24$

D

$36$

Solution

$a=4 t$

Integrating,

$v=\frac{4 t^2}{2}=2 t^2$

again integrating

$d=\frac{2 t^3}{3}$

$t=3$

$d=\frac{2 \times 27}{3}=2 \times 9=18$

Standard 11

Physics

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