Objects A and B are at the origin. If object A moves to $(- 4, 7)$ $(-4 ,7 )$ and object B moves to $(6, - 5)$ $(6 ,-5 )$ 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 · 2017-04-10T06:48:50

The relative velocity is $= < \frac{10}{3}, - 4 >$ $=<10/3,-4>$

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The absolute velocity of $A$ $A$ is

${\to v}_{A} = \frac{1}{3} < - 4, 7 \geq < - \frac{4}{3}, \frac{7}{3} >$ $vecv_A=1/3<-4,7>=<-4/3,7/3>$

The absolute velocity of $B$ $B$ is

${\to v}_{B} = \frac{1}{3} < 6, - 5 \geq < \frac{6}{3}, - \frac{5}{3} >$ $vecv_B=1/3<6,-5>=<6/3,-5/3>$

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

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

$= < \frac{6}{3}, - \frac{5}{3} > - < - \frac{4}{3}, \frac{7}{3} >$ $=<6/3,-5/3> - <-4/3,7/3>$

$= < \frac{10}{3}, - \frac{12}{3} >$ $=<10/3,-12/3>$

Objects A and B are at the origin. If object A moves to (−4,7)(-4 ,7 ) and object B moves to (6,−5)(6 ,-5 ) 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.