Objects A and B are at the origin. If object A moves to #(0 ,-1 )# and object B moves to #(9 ,6 )# over #4 s#, what is the relative velocity of object B from the perspective of object A?

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Answer 1 · 2017-05-05T13:43:20

The relative velocity is #=<-9/4,-7/4>#

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The absolute velocity of #A# is

#vecv_A=1/4<0,-1>=<0,-1/4>#

The absolute velocity of #B# is

#vecv_B=1/4<9,6> = <9/4,6/4>#

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

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

#= <0,-1/4 > - <9/4,6/4>#

#=<-9/4,-7/4>#