Objects A and B are at the origin. If object A moves to $(0 ,-3 )$ and object B moves to $(-1 ,-8 )$ over $4 s$ , what is the relative velocity of object B from the perspective of object A?

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Answer 1 · 2017-04-13T06:30:52

The relative velocity of $B$ with respect to $A$ is $=<1/4,5/4>$

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The absolute velocity of $A$ is

$vecv_A=1/4<0,-3>=<0,-3/4>$

The absolute velocity of $B$ is

$vecv_B=1/4<-1,-8>=<-1/4,-8/4>$

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

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

$=<0,-3/4> - <-1/4,-8/4>$

$=<1/4,5/4>$

Objects A and B are at the origin. If object A moves to (0 ,-3 )(0 ,-3 ) and object B moves to (-1 ,-8 )(-1 ,-8 ) over 4 s4 s, what is the relative velocity of object B from the perspective of object A?