Objects A and B are at the origin. If object A moves to #(-2 ,7 )# and object B moves to #(7 ,-5 )# 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
Apr 13, 2018

Answer:

The relative velocity is #= <3, -4> ms^-1#

Explanation:

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

The absolute velocity of #B# is #v_B=1/3 <7,-5> = <7/3, -5/3> ms^-1#

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

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

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

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

#= <9/3, -12/3>#

#= <3, -4> ms^-1#