Objects A and B are at the origin. If object A moves to #(-4 ,-4 )# and object B moves to #(2 ,-6 )# over #4 s#, what is the relative velocity of object B from the perspective of object A?

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Answer 1 · 2017-06-01T06:54:31

The relative velocity is #v_(B//A)=1.5veci-0.5vecj#

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The absolute velocity of #A# is

#vecv_A=1/4<-4,-4>=<-1,-1>#

The absolute velocity of #B# is

#vecv_B=1/4<2,-6> = <1/2,-3/2>#

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

#vecv_(B//A)=vecv_B-vecv_A#

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

#=<3/2,-1/2> ms^-1#