Objects A and B are at the origin. If object A moves to $(-8 ,7 )$ and object B moves to $(-6 ,-4 )$ 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 · 2018-01-29T06:55:39

The relative velocity is $= < 2/3, -11/3> ms^-1$

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The absolute velocity of $A$ is $v_A=1/3<-8,7> = <-8/3, 7/3>$

The absolute velocity of $B$ is $v_B=1/3<-6,-4> = <-6/3, -4/3>$

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

$v_(B//A)=v_B-v_A =<-6/3, -4/3> - <-8/3, 7/3>$

$=< -6/3+8/3, -4/3-7/3>$

$= < 2/3, -11/3> ms^-1$

Objects A and B are at the origin. If object A moves to (-8 ,7 )(-8 ,7 ) and object B moves to (-6 ,-4 )(-6 ,-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.