Objects A and B are at the origin. If object A moves to #(3 ,-7 )# and object B moves to #(2 ,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
Sep 8, 2017

Answer:

The relative velocity of #B# with respect to #A# is #= <-1/2, 8>ms^-1#

Explanation:

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The absolute velocity of #A# is #v_A=1/2<3,-7> = <3/2,-7/2>#

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

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

#v_(B//A) =v_B-v_A= <1,9/2> - <3/2,-7/2>#

#= <(1-3/2), (9/2+7/2)> #

#= <-1/2, 8> #