Objects A and B are at the origin. If object A moves to $(0 ,-3 )$ and object B moves to $(5 ,8 )$ over $8 s$ , 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 · 2017-05-02T09:05:13

The relative velocity is $=<5/8,11/8>$

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The absolute velocity of $A$ is

$vecv_A=1/8<0,-3>=<0,-3/8>$

The absolute velocity of $B$ is

$vecv_B=1/8<5,8> = <5/8,1>$

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

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

$= <5/8,1 > - <0,-3/8>$

$=<5/8,11/8>$

Objects A and B are at the origin. If object A moves to (0 ,-3 )(0 ,-3 ) and object B moves to (5 ,8 )(5 ,8 ) over 8 s8 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.