Power delivered to a paticle varies with time as `P = (3t^(2) - 2t)` watt, where 't' is in seconds, then change in its kinetic energy between time `t = 1` to `t = 3s`.

Options

A. `18 J`
B. `24 J`
C. `21 J`
D. `32.5 J`

Answer

A

Explanation

`P = (dW)/(dt)`
`W = int dW = int P dt = underset(1)overset(3)(int) (3t^(2) - 2t) dt = Delta K.E.`