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

Answer:

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#