Objects A and B are at the origin. If object A moves to #(-8 ,7 )# and object B moves to #(6 ,-7 )# over #5 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 · 2018-01-01T07:55:49

The relative velocity is #= <14/5, -14/5> ms^-1#

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The absolute velocity of #A# is #v_A =1/5<-8,7> = <-8/5,7/5>#

The absolute velocity of #B# is #v_B =1/5<6,-7> = <6/5,-7/5>#

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

#v_ (B//A)=v_b-v_A#

#=<6/5,-7/5> - <-8/5,7/5> #

#= <6/5+8/5, -7/5-7/5>#

#= <14/5, -14/5> ms^-1#