Question

Power applied to a particle varies with time as P=(3t²-2t+1) Watt, where t is second. Find the change in its kinetic energy between time t=2s and t=4sa)32 Jb)46Jc)61Jd)102J

Answer 1

46J

Integrate with dt
W=t^3 - t^2 + t

Put limits of 2 to 4
You will get
52 - 6
= 46J