Objects A and B are at the origin. If object A moves to $(4 ,-3 )$ and object B moves to $(7 ,4 )$ over $2 s$ , 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 $=<3/2,7/2>$

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The absolute velocity of $A$ is

$vecv_A=1/2<4,-3>=<2,-3/2>$

The absolute velocity of $B$ is

$vecv_B=1/2<7,4> = <7/2,2>$

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

$vecv_(B//A)=vecv_B-vecv_A$

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

$=<3/2,7/2>$

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 2 s2 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.