Objects A and B are at the origin. If object A moves to #(-9 ,-4 )# and object B moves to #(-3 ,6 )# 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
Jun 15, 2017

Answer:

The relative velocity is #= <2,10/3>#

Explanation:

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The absolute velocity of #A# is

#v_A=1/3<-9,-4> = <-3,-4/3>#

The absolute velocity of #B# is

#v_B=1/3<-3,6> = <-1,2>#

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

#v_(B//A)=v_B-v_A=<-1,2> - <-3,-4/3>#

#= <2,10/3>#