Objects A and B are at the origin. If object A moves to $(-6 ,-2 )$ and object B moves to $(5 ,4 )$ 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 · 2018-04-22T08:24:29

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

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

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

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

$v_(B//A)=v_B-v_A$

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

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

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

Objects A and B are at the origin. If object A moves to (-6 ,-2 )(-6 ,-2 ) and object B moves to (5 ,4 )(5 ,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.