Objects A and B are at the origin. If object A moves to #(6 ,7 )# and object B moves to #(-1 ,3 )# over #4 s#, what is the relative velocity of object B from the perspective of object A?

Answer 1

First, use the Pythagorean Theorem, then use equation #d=vt#

Object A has moved #c=sqrt(6^2+7^2#=9.22m
Object B has moved #c=sqrt((-1)^2+3^2#=3.16m
The velocity of Object A is then #{9.22m}/{4s}=2.31m/s#
The velocity of Object B is then #{3.16m}/{4s}=.79m/s#

These velocities will add because the objects are traveling in opposite directions, giving the impression that they are traveling apart at a speed of 3.10 m/s.

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Answer 2

The relative velocity of object B from the perspective of object A is ( (-1.75 , \text{m/s}, 1 , \text{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.

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.

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.

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.

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