Objects A and B are at the origin. If object A moves to $(-4 ,-4 )$ and object B moves to $(2 ,-6 )$ over $4 s$ , what is the relative velocity of object B from the perspective of object A?

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Answer 1 · 2017-06-01T06:54:31

The relative velocity is $v_(B//A)=1.5veci-0.5vecj$

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The absolute velocity of $A$ is

$vecv_A=1/4<-4,-4>=<-1,-1>$

The absolute velocity of $B$ is

$vecv_B=1/4<2,-6> = <1/2,-3/2>$

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

$vecv_(B//A)=vecv_B-vecv_A$

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

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

Objects A and B are at the origin. If object A moves to (-4 ,-4 )(-4 ,-4 ) and object B moves to (2 ,-6 )(2 ,-6 ) over 4 s4 s, what is the relative velocity of object B from the perspective of object A?