A particle moves along the x-axis in such a way that its acceleration at time t for t>0 is given by a(t)=3/t^2. When t=1, the position of the particle is 6 and he velocity is 2.
(a) Write an eq for the velocity, v(t), of the particle for all t>0.
(b) Write an eq for the position, x(t), of the particle for all t>0.
(c) Find the position of the particle then t=e