A constant power delivering machine has towed a box, which was initially at rest, along a horizontal…

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 :-
  1. t23
  2. t32
  3. t
  4. t12

Solution

P=C⇒FV=C⇒MdVdtV=C
⇒V22∝t
⇒V∝t1/2
⇒dxdt∝t1/2
⇒x∝t3/2

Asked in: JEE Main 2021 (18 Mar Shift 1)

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