Question

Power supplied to a particle of mass \(2\ \text{kg}\) varies with time as \[ P=\frac{3t^2}{2}\ \text{watt}, \] where \(t\) is in seconds. If velocity at \(t=0\) is zero, the velocity at \(t=2\ \text{s}\) is

• A. \(1\ \text{m/s}\)
• B. \(2\ \text{m/s}\)
• C. \(\sqrt{2}\ \text{m/s}\)
• D. \(4\ \text{m/s}\)

Hint:

When power is given as a function of time, integrate power with respect to time to get work or change in kinetic energy.

Answer 1

The Correct Option is B