Objects A and B are at the origin. If object A moves to $(- 6, - 5)$ $(-6 ,-5 )$ and object B moves to $(- 5, 12)$ $(-5 ,12 )$ 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 · 2017-09-14T05:09:43

The relative velocity of $B$ $B$ relative to $A$ $A$ is $= < \frac{1}{3}, \frac{17}{3} > m s^{- 1}$ $= <1/3, 17/3> ms^-1$

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The absolute velocity of $A$ $A$ is $v_{A} = \frac{1}{3} < - 6, - 5 > = < - 2, - \frac{5}{3} >$ $v_A=1/3<-6,-5> = <-2,-5/3>$

The absolute velocity of $B$ $B$ is $v_{B} = \frac{1}{3} < - 5, 12 > = < - \frac{5}{3}, 4 >$ $v_B=1/3 <-5,12> = <-5/3,4>$

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

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

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

$= < \frac{1}{3}, \frac{17}{3} >$ $= <1/3, 17/3>$

Objects A and B are at the origin. If object A moves to (−6,−5)(-6 ,-5 ) and object B moves to (−5,12)(-5 ,12 ) 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.