Could someone please explain to me how to do the following problem?: The acceleration of an object is given by a(t) = (-6t, 12t-32, 0). If the initial velocity is v(0) = (1,0,1) and the position at t=1 is known to be r(1) = (2,0,1), find r(t). I know that to find velocity when given acceleration, I should integrate acceleration and to find r(t) I should integrate whatever equations I get for velocity. But, how do I use the v(0) = (1,0,1) and r(1) = (2,0,1) stuff?