Objects A and B are at the origin. If object A moves to #(-3 ,7 )# and object B moves to #(1 ,3 )# 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
Jan 19, 2018

Answer:

The answer is #== < 4/3, -4/3> ms^-1#

Explanation:

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The time is #t=3s#

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

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

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

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

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

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

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