Objects A and B are at the origin. If object A moves to #(3 ,6 )# and object B moves to #(1 ,-4 )# over #1 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 · 2017-09-28T05:10:10

The relative velocity is #== <-2, -10> ms^-1#

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The absolute velocity of #A# is #v_A=1/1<3,6> = <3,6> ms^-1#

The absolute velocity of #B# is #v_B=1/1<1,-4> = <1,-4> ms^-1#

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

#v_(B//A) =v_B-v_A= <1,-4> - <3,6>#

#= <(1-3), (-4-6)> #

#= <-2, -10> ms^-1#