Objects A and B are at the origin. If object A moves to $(- 8, 7)$ $(-8 ,7 )$ and object B moves to $(- 6, - 4)$ $(-6 ,-4 )$ 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 · 2018-01-29T06:55:39

The relative velocity is $= < \frac{2}{3}, - \frac{11}{3} > m s^{- 1}$ $= < 2/3, -11/3> ms^-1$

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The absolute velocity of $A$ $A$ is $v_{A} = \frac{1}{3} < - 8, 7 > = < - \frac{8}{3}, \frac{7}{3} >$ $v_A=1/3<-8,7> = <-8/3, 7/3>$

The absolute velocity of $B$ $B$ is $v_{B} = \frac{1}{3} < - 6, - 4 > = < - \frac{6}{3}, - \frac{4}{3} >$ $v_B=1/3<-6,-4> = <-6/3, -4/3>$

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

$v_{B / A} = v_{B} - v_{A} = < - \frac{6}{3}, - \frac{4}{3} > - < - \frac{8}{3}, \frac{7}{3} >$ $v_(B//A)=v_B-v_A =<-6/3, -4/3> - <-8/3, 7/3>$

$= < - \frac{6}{3} + \frac{8}{3}, - \frac{4}{3} - \frac{7}{3} >$ $=< -6/3+8/3, -4/3-7/3>$

$= < \frac{2}{3}, - \frac{11}{3} > m s^{- 1}$ $= < 2/3, -11/3> ms^-1$

Objects A and B are at the origin. If object A moves to (−8,7)(-8 ,7 ) and object B moves to (−6,−4)(-6 ,-4 ) 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.