Objects A and B are at the origin. If object A moves to #(-6 ,-5 )# and object B moves to #(-5 ,12 )# 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
Sep 14, 2017

Answer:

The relative velocity of #B# relative to #A# is # = <1/3, 17/3> ms^-1#

Explanation:

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The absolute velocity of #A# is #v_A=1/3<-6,-5> = <-2,-5/3>#

The absolute velocity of #B# is #v_B=1/3 <-5,12> = <-5/3,4>#

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

#v_(B//A) =v_B-v_A= <-5/3,4> - <-2,-5/3>#

#= <(-5/3+2), (4+5/3)> #

#= <1/3, 17/3> #