# Objects A and B are at the origin. If object A moves to (-8 ,7 ) and object B moves to (6 ,-2 ) over 1 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

May 23, 2017

The relative velocity is $= 14 \vec{i} - 9 \vec{j}$

#### Explanation:

The absolute velocity of $A$ is

${\vec{v}}_{A} = \frac{1}{<} - 8 , 7 \ge < - 8 , 7 >$

The absolute velocity of $B$ is

${\vec{v}}_{B} = \frac{1}{1} < 6 , - 2 > = < 6 , - 2 >$

The relative velocity of $B$ with respect to $A$ is

${\vec{v}}_{B / A} = {\vec{v}}_{B} - {\vec{v}}_{A}$

$= < 6 , - 2 > - < - 8 , 7 >$

$= < 14 , - 9 > m {s}^{-} 1$