Objects A and B are at the origin. If object A moves to $(0 ,-1 )$ and object B moves to $(9 ,6 )$ over $4 s$ , what is the relative velocity of object B from the perspective of object A?

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Answer 1 · 2017-05-05T13:43:20

The relative velocity is $=<-9/4,-7/4>$

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The absolute velocity of $A$ is

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

The absolute velocity of $B$ is

$vecv_B=1/4<9,6> = <9/4,6/4>$

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

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

$= <0,-1/4 > - <9/4,6/4>$

$=<-9/4,-7/4>$

Objects A and B are at the origin. If object A moves to (0 ,-1 )(0 ,-1 ) and object B moves to (9 ,6 )(9 ,6 ) over 4 s4 s, what is the relative velocity of object B from the perspective of object A?