The acceleration of a particle in ms 2 is given by a=3t2+2t+2
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a=dv/dt
a=3t^2+2t+2
dv=a*dt
dv=(3t^2+2t+2)dt
integrating both sides we get
V=3xt^3/3+2t^2/2+2t=t^3+t^2+2t+C(constant)
at t=o
v=2m/s
2=0+c
c=2
V=t^3+t^2+2t+2
at t=2
V=8+4+4+2
=18
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