Objects A and B are at the origin. If object A moves to $(0, - 1)$ $(0 ,-1 )$ and object B moves to $(9, 6)$ $(9 ,6 )$ over $4 s$ $4 s$ , what is the relative velocity of object B from the perspective of object A?

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Answer 1 · 2017-05-05T13:43:20

The relative velocity is $= < - \frac{9}{4}, - \frac{7}{4} >$ $=<-9/4,-7/4>$

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The absolute velocity of $A$ $A$ is

${\to v}_{A} = \frac{1}{4} < 0, - 1 \geq < 0, - \frac{1}{4} >$ $vecv_A=1/4<0,-1>=<0,-1/4>$

The absolute velocity of $B$ $B$ is

${\to v}_{B} = \frac{1}{4} < 9, 6 > = < \frac{9}{4}, \frac{6}{4} >$ $vecv_B=1/4<9,6> = <9/4,6/4>$

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

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

$= < 0, - \frac{1}{4} > - < \frac{9}{4}, \frac{6}{4} >$ $= <0,-1/4 > - <9/4,6/4>$

$= < - \frac{9}{4}, - \frac{7}{4} >$ $=<-9/4,-7/4>$

Objects A and B are at the origin. If object A moves to (0,−1)(0 ,-1 ) and object B moves to (9,6)(9 ,6 ) over 4s4 s, what is the relative velocity of object B from the perspective of object A?