Power applied to a particle varies with time as `P =(3t^(2)-2t + 1)` watt, where t is in second. Find the change in its kinetic energy between time `t=2s` and `t = 4 s` .

Options

A. 46 J
B. 52 J
C. 92 J
D. 104 J

Answer

A

Explanation

`Delta K = int _(2) ^(4) P dt = [ t ^(3) - t ^(2) + t] _(2) ^(4) = 46 J`