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  4. A particle is moving in a straight line such that its velocity is increasing at 5 ms -1 per meter. The acceleration of the particle is ms -2 at a point where its velocity is 20 ms -1.

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Q. A particle is moving in a straight line such that its velocity is increasing at $5 \,ms ^{-1}$ per meter. The acceleration of the particle is _____$ms ^{-2}$ at a point where its velocity is $20 \,ms ^{-1}$.

JEE MainJEE Main 2022Motion in a Straight Line

Solution:

$ \frac{d v}{d s}=5$
$ a=v \frac{d v}{d s}=20 \times 5=100 \,m / sec ^2$