Objects A and B are at the origin. If object A moves to $(- 4, 7)$ $(-4 ,7 )$ and object B moves to $(6, 0)$ $(6 ,0 )$ 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 · 2017-05-09T09:15:55

The relative velocity is $= (\frac{10}{3} \to i - \frac{7}{3} \to j) m s^{- 1}$ $=(10/3veci-7/3vecj)ms^-1$

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The absolute velocity of $A$ $A$ is

${\to v}_{A} = \frac{1}{3} < - 4, 7 \geq < - \frac{4}{3}, \frac{7}{3} >$ $vecv_A=1/3<-4,7>=<-4/3,7/3>$

The absolute velocity of $B$ $B$ is

${\to v}_{B} = \frac{1}{3} < 6, 0 > = < 2, 0 >$ $vecv_B=1/3<6,0> = <2,0>$

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

${\to v}_{B / A} = {\to v}_{B} - {\to v}_{A}$ $vecv_(B//A)=vecv_B-vecv_A$

$= < 2, 0 > - < - \frac{4}{3}, \frac{7}{3} >$ $= <2,0 > - <-4/3,7/3>$

$= < \frac{10}{3}, - \frac{7}{3} >$ $=<10/3,-7/3>$

Objects A and B are at the origin. If object A moves to (−4,7)(-4 ,7 ) and object B moves to (6,0)(6 ,0 ) 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.