Objects A and B are at the origin. If object A moves to $(-7 ,2 )$ and object B moves to $(-5 ,-6 )$ over $2 s$ , what is the relative velocity of object B from the perspective of object A?

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Answer 1 · 2018-01-20T06:52:24

The relative velocity is $= < 1, -4> ms^-1$

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The time is $t=2s$

The absolute velocity of $A$ is $v_A=1/2* <-7, 2> = <-7/2, 1>$

The absolute velocity of $B$ is $v_B=1/2* <-5, -6> = <-5/2, -3>$

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

$v_(B//A)=v_B-v_A$

$= <-5/2, -3> - <-7/2, 1>$

$= <-5/2-(-7/2), -3-(1) >$

$= < 1, -4> ms^-1$

Objects A and B are at the origin. If object A moves to (-7 ,2 )(-7 ,2 ) and object B moves to (-5 ,-6 )(-5 ,-6 ) over 2 s2 s, what is the relative velocity of object B from the perspective of object A?