Objects A and B are at the origin. If object A moves to $(5 ,-7 )$ 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 · 2017-08-28T09:05:41

The relative velocity is $= <1, -3/2 > ms^-1$

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The absolute velocity of $A$ is $v_A=1/2<5,-7> = <5/2, -7/2>$

The absolute velocity of $B$ is $v_B=1/2<7,4> = <7/2, 2>$

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

$v_(B//A)=v_B-v_A=<7/2, 2> - <5/2, -7/2>$

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

$= <1, -3/2 >$

Objects A and B are at the origin. If object A moves to (5 ,-7 )(5 ,-7 ) 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.