Objects A and B are at the origin. If object A moves to $(-6 ,-5 )$ and object B moves to $(-5 ,12 )$ 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 · 2017-09-14T05:09:43

The relative velocity of $B$ relative to $A$ is $= <1/3, 17/3> ms^-1$

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The absolute velocity of $A$ is $v_A=1/3<-6,-5> = <-2,-5/3>$

The absolute velocity of $B$ is $v_B=1/3 <-5,12> = <-5/3,4>$

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

$v_(B//A) =v_B-v_A= <-5/3,4> - <-2,-5/3>$

$= <(-5/3+2), (4+5/3)>$

$= <1/3, 17/3>$

Objects A and B are at the origin. If object A moves to (-6 ,-5 )(-6 ,-5 ) and object B moves to (-5 ,12 )(-5 ,12 ) 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.