Objects A and B are at the origin. If object A moves to $(4, - 3)$ $(4 ,-3 )$ and object B moves to $(7, 4)$ $(7 ,4 )$ over $2 s$ $2 s$ , 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 · 2017-04-29T12:01:15

The relative velocity is $= < \frac{3}{2}, \frac{7}{2} >$ $=<3/2,7/2>$

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The absolute velocity of $A$ $A$ is

${\to v}_{A} = \frac{1}{2} < 4, - 3 \geq < 2, - \frac{3}{2} >$ $vecv_A=1/2<4,-3>=<2,-3/2>$

The absolute velocity of $B$ $B$ is

${\to v}_{B} = \frac{1}{2} < 7, 4 > = < \frac{7}{2}, 2 >$ $vecv_B=1/2<7,4> = <7/2,2>$

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

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

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

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

Objects A and B are at the origin. If object A moves to (4,−3)(4 ,-3 ) and object B moves to (7,4)(7 ,4 ) over 2s2 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.