Objects A and B are at the origin. If object A moves to $(-1 ,6 )$ and object B moves to $(6 ,-2 )$ over $2 s$ , 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 · 2018-01-01T13:48:26

The relative velocity is $= <-7/2, -4>ms^-1$

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

The absolute velocity of $B$ is $v_B =1/2<6,-2> = <3,-1>$

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

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

$=<3,-1> - <-1/2,3>$

$= <3+1/2, -1-3>$

$= <7/2, -4> ms^-1$

Objects A and B are at the origin. If object A moves to (-1 ,6 )(-1 ,6 ) and object B moves to (6 ,-2 )(6 ,-2 ) over 2 s2 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.