Thanks David. The intention was to consider a motion that makes an angle $\alpha$ with the $x-axis$, which is more complicated than the case shown above. I just wanted to find the tool to solve similar but more general cases, so I posted a simplified case.
Thanks again for your post.
Cheers...
Dear All,
I have an integration probelm and I hope to find a solution for.
I assume that an objects moves vertically in the +ive direction of the $y$ axis, from $x=a$, with constant speed $v$. I monitor the rate of change of the angle $\theta\left({t}\right)$. I have derived this rate to be...