Objects A and B are at the origin. If object A moves to #(0 ,-3 )# and object B moves to #(-1 ,-8 )# over #4 s#, what is the relative velocity of object B from the perspective of object A?

1 Answer
Apr 13, 2017

Answer:

The relative velocity of #B# with respect to #A# is #=<1/4,5/4>#

Explanation:

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The absolute velocity of #A# is

#vecv_A=1/4<0,-3>=<0,-3/4>#

The absolute velocity of #B# is

#vecv_B=1/4<-1,-8>=<-1/4,-8/4>#

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

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

#=<0,-3/4> - <-1/4,-8/4>#

#=<1/4,5/4>#