Objects A and B are at the origin. If object A moves to #(-2 ,2 )# and object B moves to #(7 ,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 29, 2018

Answer:

The relative velocity is #=<3, 7/3 > ms^-1#

Explanation:

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The absolute velocity of #A# is

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

The absolute velocity of #B# is

#v_B= 1/3 <7, 9> = <7/3, 3> ms^-1#

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

#v_(B//A) =v_B-v_A= <7/3, 3> - <-2/3, 2/3>#

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

#= <3, 7/3 > ms^-1#