Objects A and B are at the origin. If object A moves to #(5 ,-8 )# and object B moves to #(-4 ,2 )# over #3 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
Dec 16, 2017

Answer:

The relative velocity of #B# with respect to #A# is #= < -3, 10/3> ms^-1#

Explanation:

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The absolute velocity of #A# is #v_A=1/3 <5,-8> = < 5/3,-8/3> ms^-1#

The absolute velocity of #B# is #v_B=1/3 <-4,2> = < -4/3,2/3> ms^-1#

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

#v_(B//A)=v_B-v_A= < -4/3,2/3> - < 5/3,-8/3>#

# = <-4/3-5/3, 2/3+8/3 >#

#= < -3, 10/3> ms^-1#