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  4. The distance travelled by a particle is related to time t a s x=4 t2. The velocity of the particle at t-5 s is:-

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Q. The distance travelled by a particle is related to time $t a s x=4 t^2$. The velocity of the particle at $t-5 \,s$ is:-

JEE MainJEE Main 2023Motion in a Straight Line

Solution:

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