Objects A and B are at the origin. If object A moves to #(-4 ,-9 )# 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
Jul 26, 2018

Answer:

The relative velocity is #= <9/8, 17/8> ms^-1#

Explanation:

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The absolute velocity of #A# is #v_A=1/8 <-4, -9 > = <-1/2, -9/8> 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, -9/8> #

#= <5/8+1/2, 1+9/8>#

#= <9/8, 17/8> ms^-1#