Objects A and B are at the origin. If object A moves to $(- 1, 6)$ $(-1 ,6 )$ and object B moves to $(6, - 12)$ $(6 ,-12 )$ 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 · 2017-06-12T14:57:09

The relative velocity is $= < \frac{7}{3}, - 6 > m s^{- 1}$ $= <7/3, -6>ms^-1$

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The absolute velocity of $A$ $A$ is

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

The absolute velocity of $B$ $B$ is

$v_{B} = \frac{1}{3} < 6, - 12 > = < 2, - 4 >$ $v_B=1/3<6,-12> = <2,-4>$

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

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

$= < \frac{7}{3}, - 6 > m s^{- 1}$ $= <7/3, -6>ms^-1$

Objects A and B are at the origin. If object A moves to (−1,6)(-1 ,6 ) and object B moves to (6,−12)(6 ,-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.