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Question

A body with an initial velocity of  18kmh accelerates uniformly at the rate of 3cms2 over a distance of 200 m in t s. What will be its be its velocity at time t?


  1. 27ms

  2. 37ms

  3. 27ms

  4. 37ms


Solution

The correct option is D

37ms


Let, the final velocity be v

Given, acceleration a=3cms2

                                  =3100ms2

                                  =0.03ms2

Initial velocity u=18kmh

                         =18×1000m3600s

                          =5ms

Distance S=200m

We know,

v2u2=2aS

So, final velocity v=2aS+u2

v=[2×0.03×200]+52

v=12+25

v=37ms

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