#

The position of as a function of time is given by:

$$\vec{r_A} =$$ ($$+$$$$t-$$$$t^2)\hat{\imath} + ($$$$+$$$$t-$$$$t^2)\hat{\jmath}$$

’s position is given by:

$$\vec{r_B} =$$ ($$+$$$$t-$$$$t^2)\hat{\imath} + ($$$$+$$$$t+$$$$t^2)\hat{\jmath}$$.

The positions $$\vec{r_A}$$ and $$\vec{r_B}$$ are in meters and $$t$$ is in seconds.

Part 1#

What is the distance between and when $$t$$ = ?