The displacement of a particle moving with uniform acceleration in time t is given by S = 30 t + 5 t 2 , its…

The displacement of a particle moving with uniform acceleration in time t is given by S=30t+5t2, its initial velocity is _____
  1. 35 m s-1
  2. 30 m s-1
  3. 40 m s-1
  4. 45 m s-1

Solution

Given that

displacement S=30t+5t2

Velocity is given by

 v=dsdt

⇒v=d30t+5t2dt

⇒v=30+10t

Initial velocity at t=0

v=30+100=30 m s-1

Asked in: AP EAMCET 2020 (23 Sep Shift 1)

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