Objects A and B are at the origin. If object A moves to #(0 ,-3 )# and object B moves to #(5 ,8 )# 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.

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Answer 1 · 2017-05-02T09:05:13

The relative velocity is #=<5/8,11/8>#

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The absolute velocity of #A# is

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

The absolute velocity of #B# is

#vecv_B=1/8<5,8> = <5/8,1>#

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

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

#= <5/8,1 > - <0,-3/8>#

#=<5/8,11/8>#