Objects A and B are at the origin. If object A moves to #(3 ,-4 )# and object B moves to #(2 ,7 )# over #8 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 23, 2017

Answer:

The relative velocity is #=<-1/8,11/8>#

Explanation:

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The absolute velocity of #A# is

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

The absolute velocity of #B# is

#vecv_B=1/8<2,7>=<2/8,7/8>#

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

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

#=<2/8,7/8> - <3/8,-4/8>#

#=<-1/8,11/8>#