Objects A and B are at the origin. If object A moves to $(-2 ,2 )$ and object B moves to $(7 ,9 )$ 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 · 2018-05-29T17:36:48

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

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The absolute velocity of $A$ is

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

The absolute velocity of $B$ is

$v_B= 1/3 <7, 9> = <7/3, 3> ms^-1$

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

$v_(B//A) =v_B-v_A= <7/3, 3> - <-2/3, 2/3>$

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

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

Objects A and B are at the origin. If object A moves to (-2 ,2 )(-2 ,2 ) and object B moves to (7 ,9 )(7 ,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.