Question

A particle moves along the x-axis so that its velocity at time t, 0(less than or equal)t(greater or equal to)5 is given by v(t)=3(t-1)(t-3). at time t=2 the position of the particle is x(2)=0.

1. find the minimum acceleration of the particle
2. find the total distance traveled by the particle

My Answers:
1. -12
2. 30