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JEE Main 202225 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
25 July
Shift
Evening Shift
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2022 · 25 July · Evening Shift · Physics · Motion in One Dimension

A particle is moving in a straight line such that its velocity is...

A particle is moving in a straight line such that its velocity is increasing at 5ms−15{ms}^{- 1} per meter. The acceleration of the particle is _____ ms−2m{s}^{- 2} at a point where its velocity is 20ms−120{ms}^{- 1}.

Correct answer

0

Step-by-step solution

According to the question, velocity is increasing at 5ms−15m{s}^{- 1}. Therefore, dvds=5s−1\dfrac{dv}{ds} = 5{s}^{- 1}.

Now acceleration a=dvdt=vdvdsa = \dfrac{d v}{d t} = v\dfrac{d v}{d s}

⇒a=vdvds=20×5=100ms−2⇒ a = v\dfrac{dv}{ds} = 20 \times 5 = 100m{s}^{- 2}

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