Objects A and B are at the origin. If object A moves to #(1 ,-1 )# and object B moves to #(5 ,9 )# 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.

1 Answer
Aug 16, 2017

Answer:

The relative velocity is #=<2, 5>#

Explanation:

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

The absolute velocity of #B# is #v_B=1/2<5,9> = <5/2,9/2>#

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

#v_(B//A)=v_B-v_A= <5/2,9/2> - <1/2,-1/2> = <5/2-1/2, 9/2+1/2>#

#= <2, 5>#