Objects A and B are at the origin. If object A moves to #(-7 ,2 )# and object B moves to #(-5 ,-6 )# over #2 s#, what is the relative velocity of object B from the perspective of object A?

1 Answer
Jan 20, 2018

Answer:

The relative velocity is #= < 1, -4> ms^-1 #

Explanation:

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The time is #t=2s#

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

The absolute velocity of #B# is #v_B=1/2* <-5, -6> = <-5/2, -3>#

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

#v_(B//A)=v_B-v_A#

#= <-5/2, -3> - <-7/2, 1>#

#= <-5/2-(-7/2), -3-(1) >#

#= < 1, -4> ms^-1#