The motion of a particle along the x-axis is described by the following velocity function v(t)={:{((t^(3)+t^(2)+1),0 le t lt 3,"sec"),((2t+5),3 le t lt 5,"sec"),((t^(2)-6t),5 le t,"sec"):} where v is in m/sec and t is in second If initially, the particle was at x=0, then the position of particle at t=2 second will be

The motion of a particle along the x-axis is described by the followin

1.	The motion of a particle along the x-axis is described by the following velocity function v(t)={:{((t^(3)+t^(2)+1),0 le t lt 3,"sec"),((2t+5),3 le t lt 5,"sec"),((t^(2)-6t),5 le t,"sec"):} where v is in m/sec and t is in second If initially, the particle was at x=0, then the position of particle at t=2 second will be
Answer» 10 m `32/3` m `40/3` m 14m Answer :B