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power supplied to a mass of 2kg vaaries with time as p= 3t 2 /2 watt. here t is time in second. if speed at t=0 is zero , then the velocity of the particle at t=2 s will be (floor is smooth) ​1 m /s 4 m /s 2 m /s 2*2 1/2 m/s

power supplied to a mass of 2kg vaaries with time as p= 3t2/2 watt. here t is time in second. if speed at t=0 is zero , then the velocity of the particle at t=2 s will be (floor is smooth)
  1. ​1 m /s
  2. 4 m /s
  3. 2 m /s
  4. 2*21/2 m/s

Grade:11

1 Answers

Vikas TU
14149 Points
3 years ago
From work-energy theorem,
ΔKE=Wnet or Kf−Ki=∫Pdt
or 1/2mv^2−0=∫20(3/2t^2)dt
or v^2 = ∣t^3/2∣ from 0 to 2
 or v=2ms−1

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