A force acts on a 30 gm particle in such a way that the position of the particle as a function of time is given by x=3t−4t2+t3, where x is in metres and t is in seconds. The work done during the first 4 seconds is
5.28 J
v=dxdt=3−8t+3t2
∴v0=3m/s and v4=19m/s
W=12m(v24−v20) (According to work energy theorem)
=12×0.03×(192−32)=5.28 J