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Objects A and B are at the origin. If object A moves to #(-4 ,7 )# and object B moves to #(5 ,-3 )# over #4 s#, what is the relative velocity of object B from the perspective of object A?

Answer 1

Layla Ahmed

#v_"AB"=3.36" "m/s#

#"angle="311.99^o#

#"displacement="13.45" "m#
#"time="4 s#
#"relative velocity="(13.45)/4#

#v_"AB"=3.36" "m/s#

#"angle="311.99^o#

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Answer 2

Nora Arzate

To find the relative velocity of object B from the perspective of object A, we need to subtract the velocity of object A from the velocity of object B.

Velocity of object A = Displacement of object A / Time taken = ((-4 - 0), (7 - 0)) / 4 = (-4/4, 7/4) = (-1, 1.75).

Velocity of object B = Displacement of object B / Time taken = ((5 - 0), (-3 - 0)) / 4 = (5/4, -3/4) = (1.25, -0.75).

Relative velocity of B with respect to A = Velocity of B - Velocity of A = (1.25, -0.75) - (-1, 1.75) = (1.25 + 1, -0.75 - 1.75) = (2.25, -2.5)

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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.