The problem: We need to find the vector $\vec{v_2}$ and $\vec{v_1}$ in polar coordinates.
How to find the acceleration if $\vec{v_1}$ is the speed of water in which the point P is traveling with vector $\vec{v_2}$. We know that $|\vec{v_2}| = v_2$ and $|\vec{v_1}| = v_1$
My try:
$\vec{v_2} = -(\phi \vec{e_{\phi}} + v_2\vec{e_r})$
Where $\vec{e_\phi}$ and $\vec{e_r}$ are basis unit vectors. $\vec{v_1} = \frac{\pi}{2}\vec{e_{\phi}} + v_1\vec{e_r} $
Is it correct?
We also need to show how to get acceleration. So how to find the acceleration if $\vec{v_1}$ is the speed of water in which the point P is traveling with vector $\vec{v_2}$. I don't know how to do that. But if I would guess it would be $\frac{d(\vec{v_1} + \vec{v_2})}{dt}$.
How to do it?