Objects A and B are at the origin. If object A moves to $(-7 ,4 )$ and object B moves to $(-3 ,2 )$ 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.

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Answer 1 · 2017-07-20T08:36:10

The relative velocity is $=2/3<2, -1> ms^-1$

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The absolute velocity of $A$ is $v_A=1/3<-7,4> = <-7/3,4/3>$

The absolute velocity of $B$ is $v_B=1/3<-3,2> = <-1,2/3>$

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

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

$=<-1,2/3> - <-7/3,4/3>$

$=<-1+7/3, 2/3-4/3>$

$=<4/3, -2/3> ms^-1$

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 3 s3 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.