Objects A and B are at the origin. If object A moves to $(1 ,-1 )$ and object B moves to $(5 ,9 )$ 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 · 2017-08-16T06:29:48

The relative velocity is $=<2, 5>$

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

The absolute velocity of $B$ is $v_B=1/2<5,9> = <5/2,9/2>$

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

$v_(B//A)=v_B-v_A= <5/2,9/2> - <1/2,-1/2> = <5/2-1/2, 9/2+1/2>$

$= <2, 5>$

Objects A and B are at the origin. If object A moves to (1 ,-1 )(1 ,-1 ) and object B moves to (5 ,9 )(5 ,9 ) 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.