Objects A and B are at the origin. If object A moves to $(-8 ,-5 )$ and object B moves to $(-1 ,4 )$ 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.

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Answer 1 · 2017-08-09T06:34:59

The relative velocity is $= <7/3, 3> ms^-1$

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The absolute velocity of $A$ is $v_A=1/3<-8,-5> = <-8/3,-5/3>$

The absolute velocity of $B$ is $v_B=1/3<-1,4> = <-1/3,4/3>$

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

$v_(B//A)=v_B-v_A= <-1/3,4/3> - <-8/3,-5/3> = <-1/3+8/3, 4/3+5/3>$

$= <7/3, 3> ms^-1$

Objects A and B are at the origin. If object A moves to (-8 ,-5 )(-8 ,-5 ) and object B moves to (-1 ,4 )(-1 ,4 ) 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.