Objects A and B are at the origin. If object A moves to #(-1 ,6 )# and object B moves to #(6 ,-2 )# 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 · 2018-01-01T13:48:26

The relative velocity is #= <-7/2, -4>ms^-1#

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The absolute velocity of #A# is #v_A =1/2<-1,6> = <-1/2,3>#

The absolute velocity of #B# is #v_B =1/2<6,-2> = <3,-1>#

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

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

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

#= <3+1/2, -1-3>#

#= <7/2, -4> ms^-1#