Objects A and B are at the origin. If object A moves to #(-4 ,-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.

1 Answer
Sep 21, 2017

Answer:

The relative velocity is #=<9/8, 11/8> ms^-1#

Explanation:

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The absolute velocity of #A# is #v_A=1/8<-4,-3> = <-1/2,-3/8> ms^-1#

The absolute velocity of #B# is #v_B=1/8 <5,8> = <5/8,1> ms^-1#

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

#v_(B//A) =v_B-v_A= <5/8,1> - <-1/2,-3/8>#

#= <(5/8+1/2), (1+3/8)> #

#= <9/8, 11/8> ms^-1#