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Objects A and B are at the origin. If object A moves to #(-4 ,-9 )# and object B moves to #(1 ,8 )# over #8 s#, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

Answer 1

Adrian Ayala

The relative velocity is #= < 5/8, 17/8> ms^-1#

The absolute velocity of #A# is #v_A=1/8 <-4,-9> = < -1/2,-9/8> ms^-1#

The absolute velocity of #B# is #v_B=1/8 <1,8> = < 1/8,1> ms^-1#

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

#v_(B//A)=v_B-v_A= < 1/8,1> - < -1/2,-9/8>#

# = <1/8+1/2, 1+9/8 >#

#= < 5/8, 17/8> ms^-1#

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Answer 2

Olivia Askew

The relative velocity of object B from the perspective of object A is (-1.25 m/s, 2.125 m/s).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.