What exactly are position vectors? I happened to be out on the day this was taught and I have a quarterly coming up, help?
show me an example with this problem: find the position vector:
v(t)= <-sin t, cos t> and r(0)= <0,1>
$\displaystyle v(t) = \left<-sin{t} ,\cos{t} \right>
$
antiderivative of each component ...
$\displaystyle r(t) = \left<\cos{t}+C ,\sin{t}+C \right>$
use the given initial condition to find $\displaystyle C$ for each component.
a position vector gives the x and y components of position at any time t.