# Objects A and B are at the origin. If object A moves to (-3 ,1 ) and object B moves to (12 ,3 ) over 3 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

Mar 12, 2016

$= \frac{1}{3} \left(15 \hat{i} + 2 \hat{j}\right) m {s}^{-} 1$
Velocity vector of A = ${\vec{V}}_{A} = {\vec{r}}_{A} / t = \frac{1}{3} \left(- 3 \hat{i} + \hat{j}\right) m {s}^{-} 1$
Velocity vector of B = ${\vec{V}}_{B} = {\vec{r}}_{B} / t = \frac{1}{3} \left(12 \hat{i} + 3 \hat{j}\right) m {s}^{-} 1$
${\vec{V}}_{B A} = {\vec{V}}_{B} - {\vec{V}}_{A} = \frac{1}{3} \left(15 \hat{i} + 2 \hat{j}\right) m {s}^{-} 1$