Objects A and B are at the origin. If object A moves to #(-3 ,-8 )# and object B moves to #(1 ,-1 )# 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
Jul 18, 2017

Answer:

The relative velocity of #B# wrt #A# is #=<4/3,7/3>#

Explanation:

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The absolute velocity of #A# is #v_A=1/3*<-3,-8> = <-1,-8/3>#

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

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

#v_(B//A)=v_B-v_A#

#=<1/3,-1/3> - <-1,-8/3> #

#=<4/3,7/3>#