Objects A and B are at the origin. If object A moves to (5 ,-3 ) and object B moves to (-7 ,2 ) over 3 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

1 Answer
Apr 2, 2018

The relative velocity is = <-4, 5/3> ms^-1

Explanation:

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The absolute velocity of A is v_A=1/3 <5,-3> = <5/3, -1>

The absolute velocity of B is v_B=1/3 <-7,2> = <-7/3, 2/3>

The relative velocity of B with respect to A is

v_(B//A)=v_B- v_A=<-7/3, 2/3> - <5/3, -1>

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

= <-4, 5/3> ms^-1