Verified Solution • 2025–26 Session moderate

QJEEM21Ph3599: JEE Main 2021 Physics - Class 11 JEEM21Ph3599 Solution: A constant power delivering machine has towed a box, which was…

A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time 't' is proportional to :-

Multiple Choice Options

  • A t2/3
  • B t3/2
  • C t
  • D t1/2

Step-by-Step Verified Solution

P=F.v=mavP = F.v = mav

P=mvdvdtP = {{mvdv} \over {dt}}

∫0tPdt=m∫0vvdv\int\limits_0^t {Pdt} = m\int\limits_0^v {vdv}

Pt=mv22Pt = {{m{v^2}} \over 2}

v=2Ptmv = \sqrt {{{2Pt} \over m}}

dxdt=2Ptm{{dx} \over {dt}} = \sqrt {{{2Pt} \over m}}

∫dx=∫2Ptmdt\int {dx} = \int {\sqrt {{{2Pt} \over m}} } dt

x∝t3/2x \propto {t^{3/2}}

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring