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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?

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# Homework Help: Finding a position vector

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