Objects A and B are at the origin. If object A moves to #(-3 ,-5 )# and object B moves to #(-1 ,9 )# 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
May 21, 2018

Answer:

The relative velocity is #= <2/3, 14/3 > ms^-1 #

Explanation:

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The absolute velocity of #A# is

#v_A= 1/3 <-3, -5 > = <-1, -5/3> ms^-1#

The absolute velocity of #B# is

#v_B= 1/3 <-1, 9> = <-1/3, 3> ms^-1#

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

#v_(B//A) =v_B-v_A= <-1/3, 3> - <-1, -5/3>#

#= <-1/3+1, 3+5/3 >#

#= <2/3, 14/3 > ms^-1#