Objects A and B are at the origin. If object A moves to (-6 ,-3 ) and object B moves to (-5 ,-4 ) 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 15, 2018

The relative velocity is $= < \frac{1}{3} , - \frac{1}{3} > m {s}^{-} 1$

Explanation:

The absolute velocity of $A$ is

${v}_{A} = \frac{1}{3} < - 6 , - 3 > = < - 2 , - 1 >$

The absolute velocity of $B$ is

${v}_{B} = \frac{1}{3} < - 5 , - 4 > = < - \frac{5}{3} , - \frac{4}{3} >$

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

${v}_{B / A} = {v}_{B} - {v}_{A} = < - \frac{5}{3} , - \frac{4}{3} > - < - 2 , - 1 >$

$= < - \frac{5}{3} + 2 , - \frac{4}{3} + 1 >$

$= < \frac{1}{3} , - \frac{1}{3} > m {s}^{-} 1$