Finding a position vector.... 1. The problem statement, all variables and given/known data A spaceship is traveling with acceleration a(t)=<e^(t) , t , sin2t>. At t=0, the spaceship was a origin r(0)=<0,0,0> and had an initial velocity of v(0)=<1,0,0> Find the position of the ship at t=pi 2. Relevant equations uhhh... 3. The attempt at a solution I figured I'd work backwards with the acceleration vector given to find the velocity and position vectors, then put the t=pi into the position vector I find. So, v(t)=<e^(t) , (1/2)t^(2) , -(1/2)cos(2t)> Then r(t)=<e^(t), (1/6)t^(3) , -(1/4)sin(2t)> But this doesn't seem right to me because when I put in the given t=0 into my v(t), I get <1,0,-(1/2)> not the <1,0,0> like the problem says. I'm approaching this problem wrong, aren't I?