Objects A and B are at the origin. If object A moves to $(-3 ,-5 )$ and object B moves to $(-1 ,9 )$ 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 · 2018-05-21T05:53:27

The relative velocity is $= <2/3, 14/3 > ms^-1$

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The absolute velocity of $A$ is

$v_A= 1/3 <-3, -5 > = <-1, -5/3> ms^-1$

The absolute velocity of $B$ is

$v_B= 1/3 <-1, 9> = <-1/3, 3> ms^-1$

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

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

$= <-1/3+1, 3+5/3 >$

$= <2/3, 14/3 > ms^-1$

Objects A and B are at the origin. If object A moves to (-3 ,-5 )(-3 ,-5 ) and object B moves to (-1 ,9 )(-1 ,9 ) 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.