Objects A and B are at the origin. If object A moves to #(-6 ,-3 )# and object B moves to #(-5 ,-4 )# 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.

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Answer 1 · 2018-03-15T14:36:56

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

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The absolute velocity of #A# is

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

The absolute velocity of #B# is

#v_B=1/3<-5,-4> = <-5/3,-4/3>#

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

#v_(B//A)=v_B-v_A= <-5/3,-4/3> - <-2,-1>#

#=<-5/3+2, -4/3+1>#

#=<1/3, -1/3>ms^-1#