3) A particle moves in a straight line so that its position at time t is s(t) = t3 12t+ 3 , where t is measured in seconds and S is measured in meters. 3) Find the velocity function v(t) . b) When is the particle moving forward and when is it moving backward? c) Find the distance that the particle travels during the time interval 0 S t S 3 . (I) Find the acceleration Jnction (10'). e) When is the particle speeding up? When is it slowing down