Objects A and B are at the origin. If object A moves to #(4 ,-2 )# and object B moves to #(2 ,4 )# 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 · 2017-09-03T06:36:13

The relatve velocity is #= <1/4, -3/4> # ms^-1

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The absolute velocity of #A# is #v_A=1/8 <4,-2> = <1/2,-1/4>#

The absolute velocity of #B# is #v_B=1/8 <2,4> = <1/4,1/2>#

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

#v_(B//A) =v_B-v_A= <1/2,-1/4> - <1/4,1/2>#

#= <(1/2-1/4), (-1/4-1/2)> #

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