A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The…

A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time t is proportional to:

  1. t32
  2. t12
  3. t14
  4. t34

Solution

P= constant

12mv2=Pt

⇒v∝t

dxdt=Ct C= constant

by integration, 

x=Ct12+112+1

x∝t3/2

Asked in: JEE Main 2021 (20 Jul Shift 2)

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