Objects A and B are at the origin. If object A moves to #(-8 ,-2 )# and object B moves to #(6 ,-7 )# over #5 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

Lily Adams

#angle=340,35^o#
#v=2,97m/s#

#"solution is shown in animation"#

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Answer 2

Julia Aguilar

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: Initial position: (0, 0) Final position: (-8, -2) Change in position of A = (-8 - 0, -2 - 0) = (-8, -2) Time taken = 5 s

Velocity of object B: Initial position: (0, 0) Final position: (6, -7) Change in position of B = (6 - 0, -7 - 0) = (6, -7) Time taken = 5 s

Relative velocity of B from the perspective of A = Velocity of B - Velocity of A = (6, -7) - (-8, -2) = (6 - (-8), -7 - (-2)) = (6 + 8, -7 + 2) = (14, -5)

So, the relative velocity of object B from the perspective of object A is (14 m/s, -5 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.