Objects A and B are at the origin. If object A moves to $(5 ,-8 )$ and object B moves to $(-4 ,2 )$ 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 · 2017-12-16T12:44:57

The relative velocity of $B$ with respect to $A$ is $= < -3, 10/3> ms^-1$

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

The absolute velocity of $B$ is $v_B=1/3 <-4,2> = < -4/3,2/3> ms^-1$

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

$v_(B//A)=v_B-v_A= < -4/3,2/3> - < 5/3,-8/3>$

$= <-4/3-5/3, 2/3+8/3 >$

$= < -3, 10/3> ms^-1$

Objects A and B are at the origin. If object A moves to (5 ,-8 )(5 ,-8 ) and object B moves to (-4 ,2 )(-4 ,2 ) 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.