# Objects A and B are at the origin. If object A moves to (-2 ,8 ) and object B moves to (3 ,-3 ) over 4 s, what is the relative velocity of object B from the perspective of object A?

Aug 11, 2017

$\left(\frac{5}{4} , - \frac{11}{4}\right)$

#### Explanation:

B's position with respect to A, at the end of 4 s is

$\left(3 , - 3\right) - \left(- 2 , 8\right) = \left(5 , - 11\right)$

Since the initial relative position is $\left(0 , 0\right)$ at $t = 0$, we find the relative velocity of B with respect to A is

$\frac{1}{4} \left(5 , - 11\right)$