Objects A and B are at the origin. If object A moves to $(- 3, - 5)$ $(-3 ,-5 )$ and object B moves to $(- 1, 9)$ $(-1 ,9 )$ 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 · 2018-05-21T05:53:27

The relative velocity is $= < \frac{2}{3}, \frac{14}{3} > m s^{- 1}$ $= <2/3, 14/3 > ms^-1$

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The absolute velocity of $A$ $A$ is

$v_{A} = \frac{1}{3} < - 3, - 5 > = < - 1, - \frac{5}{3} > m s^{- 1}$ $v_A= 1/3 <-3, -5 > = <-1, -5/3> ms^-1$

The absolute velocity of $B$ $B$ is

$v_{B} = \frac{1}{3} < - 1, 9 > = < - \frac{1}{3}, 3 > m s^{- 1}$ $v_B= 1/3 <-1, 9> = <-1/3, 3> ms^-1$

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

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

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

$= < \frac{2}{3}, \frac{14}{3} > m s^{- 1}$ $= <2/3, 14/3 > ms^-1$

Objects A and B are at the origin. If object A moves to (−3,−5)(-3 ,-5 ) and object B moves to (−1,9)(-1 ,9 ) 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.