Objects A and B are at the origin. If object A moves to $(-3 ,-5 )$ 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 · 2018-04-17T09:22:40

The relative velocity is $= <10/3, 14/3> ms^-1$

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

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

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

$=<7/3, 3> - <-1, -5/3>$

$= <7/3+1, 3 +5/3>$

$= <10/3, 14/3> ms^-1$

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