Objects A and B are at the origin. If object A moves to $(- 3, - 8)$ $(-3 ,-8 )$ and object B moves to $(1, - 1)$ $(1 ,-1 )$ 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 · 2017-07-18T13:45:36

The relative velocity of $B$ $B$ wrt $A$ $A$ is $= < \frac{4}{3}, \frac{7}{3} >$ $=<4/3,7/3>$

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

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

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

$v_{B / A} = v_{B} - v_{A}$ $v_(B//A)=v_B-v_A$

$= < \frac{1}{3}, - \frac{1}{3} > - < - 1, - \frac{8}{3} >$ $=<1/3,-1/3> - <-1,-8/3>$

$= < \frac{4}{3}, \frac{7}{3} >$ $=<4/3,7/3>$

Objects A and B are at the origin. If object A moves to (−3,−8)(-3 ,-8 ) and object B moves to (1,−1)(1 ,-1 ) 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.