Objects A and B are at the origin. If object A moves to $(3, - 4)$ $(3 ,-4 )$ and object B moves to $(2, 7)$ $(2 ,7 )$ over $8 s$ $8 s$ , 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 · 2017-04-23T06:10:38

The relative velocity is $= < - \frac{1}{8}, \frac{11}{8} >$ $=<-1/8,11/8>$

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The absolute velocity of $A$ $A$ is

${\to v}_{A} = \frac{1}{8} < 3, - 4 \geq < \frac{3}{8}, - \frac{4}{8} >$ $vecv_A=1/8<3,-4>=<3/8,-4/8>$

The absolute velocity of $B$ $B$ is

${\to v}_{B} = \frac{1}{8} < 2, 7 \geq < \frac{2}{8}, \frac{7}{8} >$ $vecv_B=1/8<2,7>=<2/8,7/8>$

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

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

$= < \frac{2}{8}, \frac{7}{8} > - < \frac{3}{8}, - \frac{4}{8} >$ $=<2/8,7/8> - <3/8,-4/8>$

$= < - \frac{1}{8}, \frac{11}{8} >$ $=<-1/8,11/8>$

Objects A and B are at the origin. If object A moves to (3,−4)(3 ,-4 ) and object B moves to (2,7)(2 ,7 ) over 8s8 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.