Objects A and B are at the origin. If object A moves to $(0, - 3)$ $(0 ,-3 )$ and object B moves to $(9, - 3)$ $(9 ,-3 )$ 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 · 2017-04-12T15:12:43

The relative velocity is $= < 3, 0 >$ $=<3,0>$

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The absolute velocity of $A$ $A$ is

${\to v}_{A} = \frac{1}{3} < 0, - 3 \geq < 0, - 1 >$ $vecv_A=1/3<0,-3>=<0,-1>$

The absolute velocity of $B$ $B$ is

${\to v}_{B} = \frac{1}{3} < 9, - 3 \geq < 3, - 1 >$ $vecv_B=1/3<9,-3>=<3,-1>$

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

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

$= < 3, - 1 > - < 0, - 1 >$ $=<3,-1> - <0,-1>$

$= < 3, 0 >$ $=<3,0>$

Objects A and B are at the origin. If object A moves to (0,−3)(0 ,-3 ) and object B moves to (9,−3)(9 ,-3 ) 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.