Objects A and B are at the origin. If object A moves to $(- 6, - 3)$ $(-6 ,-3 )$ and object B moves to $(- 5, - 4)$ $(-5 ,-4 )$ 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 · 2018-03-15T14:36:56

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

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The absolute velocity of $A$ $A$ is

$v_{A} = \frac{1}{3} < - 6, - 3 > = < - 2, - 1 >$ $v_A=1/3<-6,-3> = <-2,-1>$

The absolute velocity of $B$ $B$ is

$v_{B} = \frac{1}{3} < - 5, - 4 > = < - \frac{5}{3}, - \frac{4}{3} >$ $v_B=1/3<-5,-4> = <-5/3,-4/3>$

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

$v_{B / A} = v_{B} - v_{A} = < - \frac{5}{3}, - \frac{4}{3} > - < - 2, - 1 >$ $v_(B//A)=v_B-v_A= <-5/3,-4/3> - <-2,-1>$

$= < - \frac{5}{3} + 2, - \frac{4}{3} + 1 >$ $=<-5/3+2, -4/3+1>$

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

Objects A and B are at the origin. If object A moves to (−6,−3)(-6 ,-3 ) and object B moves to (−5,−4)(-5 ,-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.