Objects A and B are at the origin. If object A moves to $(- 3, 1)$ $(-3 ,1 )$ and object B moves to $(- 6, 8)$ $(-6 ,8 )$ over $3 s$ $3 s$ , 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 · 2017-04-15T05:45:36

The relative velocity of $B$ $B$ wrt $A$ $A$ is $= < - 1, \frac{3}{3} >$ $=<-1,3/3>$

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The absolute velocity of $A$ $A$ is

${\to v}_{A} = \frac{1}{3} < - 3, 1 \geq < - 1, \frac{1}{3} >$ $vecv_A=1/3<-3,1>=<-1,1/3>$

The absolute velocity of $B$ $B$ is

${\to v}_{B} = \frac{1}{3} < - 6, 8 \geq < - 2, \frac{8}{3} >$ $vecv_B=1/3<-6,8>=<-2,8/3>$

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

${\to v}_{B / A} = {\to v}_{B} - {\to v}_{A}$ $vecv_(B//A)=vecv_B-vecv_A$

$= < - 2, \frac{8}{3} > - < - 1, \frac{1}{3} >$ $=<-2,8/3> - <-1,1/3>$

$= < - 1, \frac{3}{3} >$ $=<-1,3/3>$

Objects A and B are at the origin. If object A moves to (−3,1)(-3 ,1 ) and object B moves to (−6,8)(-6 ,8 ) over 3s3 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.