Objects A and B are at the origin. If object A moves to $(- 7, 4)$ $(-7 ,4 )$ and object B moves to $(- 3, 2)$ $(-3 ,2 )$ over $3 s$ $3 s$ , what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

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Answer 1 · 2017-07-20T08:36:10

The relative velocity is $= \frac{2}{3} < 2, - 1 > m s^{- 1}$ $=2/3<2, -1> ms^-1$

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The absolute velocity of $A$ $A$ is $v_{A} = \frac{1}{3} < - 7, 4 > = < - \frac{7}{3}, \frac{4}{3} >$ $v_A=1/3<-7,4> = <-7/3,4/3>$

The absolute velocity of $B$ $B$ is $v_{B} = \frac{1}{3} < - 3, 2 > = < - 1, \frac{2}{3} >$ $v_B=1/3<-3,2> = <-1,2/3>$

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

$v_{B / A} = v_{B} - v_{A}$ $v_(B//A)=v_B-v_A$

$= < - 1, \frac{2}{3} > - < - \frac{7}{3}, \frac{4}{3} >$ $=<-1,2/3> - <-7/3,4/3>$

$= < - 1 + \frac{7}{3}, \frac{2}{3} - \frac{4}{3} >$ $=<-1+7/3, 2/3-4/3>$

$= < \frac{4}{3}, - \frac{2}{3} > m s^{- 1}$ $=<4/3, -2/3> ms^-1$

Objects A and B are at the origin. If object A moves to (−7,4)(-7 ,4 ) and object B moves to (−3,2)(-3 ,2 ) over 3s3 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.