Question

I don't supposed there are any mechanical engineers here? http://puu.sh/15rEy

Answer 1

I suppose you could use the derivative to find the slope of the velocity vector and break it into horizontal and vertical components.

Answer 2

I was thinking of doing something similar, though I end up with a pretty ugly integral to solve later on.

Answer 3

Yeah, I'm getting something ugly too, but where are you integrating?

The derivative equals the slope, which equals the tangent of the angle, and
\[v_x = v_ocos(\theta), \space v_y=v_osin(\theta)\]