Q77 / 90 · JEE Main 2021 (20 Jul Shift 2) · Physics

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:

  • Correct answer
    A
    t32
  • B
    t12
  • C
    t14
  • D
    t34

Solution

P= constant

12mv2=Pt

⇒v∝t

dxdt=Ct C= constant

by integration, 

x=Ct12+112+1

x∝t3/2

Hence, the correct answer is option: 'A'.

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