Distance travelled by a particle is related to time t as x =4 t ^2 . velocity of particle at t = 5 s

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2.Motion in Straight Line

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The distance travelled by a particle is related to time $t$ as $x =4 t ^2$. The velocity of the particle at $t =$ $5 s$ is $.........ms^{-1}$

A$40$

B$25$

C$20$

D$8$

(JEE MAIN-2023)

Solution

$x =4 t ^2$
$v =\frac{ dx }{ dt }=8 t$
At $t =5\,sec$
$v =8 \times 5=40\,m / s$

Standard 11

Physics

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