Objects A and B are at the origin. If object A moves to $(- 7, 3)$ $(-7 ,3 )$ and object B moves to $(- 6, - 1)$ $(-6 ,-1 )$ 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 · 2017-07-01T08:42:40

The relative velocity is $= < \frac{1}{3}, - \frac{4}{3} >$ $=<1/3, -4/3>$

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The absolute velocity of $A$ $A$ is $v_{A} = \frac{1}{3} < - 7, 3 > = < - \frac{7}{3}, 1 >$ $v_A=1/3<-7,3> = <-7/3,1>$

The absolute velocity of $B$ $B$ is $v_{B} = \frac{1}{3} < - 6, - 1 > = < - 2, - \frac{1}{3} >$ $v_B=1/3<-6,-1> = <-2,-1/3>$

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

$v_{B / A} = v_{B} - v_{A} = < - 2, - \frac{1}{3} > - < - \frac{7}{3}, 1 >$ $v_(B//A)=v_B-v_A=<-2,-1/3> - <-7/3,1>$

$= < - 2 + \frac{7}{3}, - \frac{1}{3} - 1 >$ $=<-2+7/3, -1/3-1>$

$= < \frac{1}{3}, - \frac{4}{3} >$ $=<1/3, -4/3>$

Objects A and B are at the origin. If object A moves to (−7,3)(-7 ,3 ) and object B moves to (−6,−1)(-6 ,-1 ) 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.