Objects A and B are at the origin. If object A moves to #(-3 ,1 )# and object B moves to #(-6 ,8 )# 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
Apr 15, 2017

Answer:

The relative velocity of #B# wrt #A# is #=<-1,3/3>#

Explanation:

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The absolute velocity of #A# is

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

The absolute velocity of #B# is

#vecv_B=1/3<-6,8>=<-2,8/3>#

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

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

#=<-2,8/3> - <-1,1/3>#

#=<-1,3/3>#