Objects A and B are at the origin. If object A moves to #(4 ,-3 )# and object B moves to #(7 ,4 )# over #2 s#, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

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Answer 1 · 2017-04-29T12:01:15

The relative velocity is #=<3/2,7/2>#

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The absolute velocity of #A# is

#vecv_A=1/2<4,-3>=<2,-3/2>#

The absolute velocity of #B# is

#vecv_B=1/2<7,4> = <7/2,2>#

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

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

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

#=<3/2,7/2>#