- #1
theloathedone
- 18
- 0
Homework Statement
A particle starts at (d, 0) in polar coordinates and has a velocity of
[tex]\vec{v}=(u \sin{\theta} - v)\hat{r} + u \cos{\theta} \hat{\theta} [/tex]
where v > u
Find the position vector of the particle as a function of time.
Homework Equations
[tex]\vec{v}=\frac{d\vec{r}}{dt}[/tex]
The Attempt at a Solution
I'm not sure how to integrate the expression for v to get the position of a particle. Since the unit vectors are changing, I can't just integrate the components individually like in Cartesian coordinates right?
I also read that [tex]\dot{\textbf{r}}=\dot{r}\hat{\textbf{r}}+ r\dot{\theta}\hat{\textbf{\theta}}[/tex]
But I'm not sure if this helps me.
Thanks in advance for the help :)
P.S. How do I bold the letters? I used \textbf but it doesn't seem to have an effect.