The relation between time t and distance x for a moving body is given as t = m x 2 + n x , where m and n are…

The relation between time t and distance x for a moving body is given as t=mx2+nx, where m and n are constants. The retardation of the motion is: (When v stands for velocity)
  1. 2mv3
  2. 2mnv3
  3. 2nv3
  4. 2n2v3

Solution

t=mx2+nx

1v=dtdx=2mx+n

V=12mx+n

dvdt=-2m(2mx+n)2dxdt

a=-(2m)v3

Asked in: JEE Main 2021 (25 Jul Shift 2)

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