Colton was given a box of assorted chocolates for his birthday. Each night, Colton treated himself to some chocolates. There wer
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Answer:
Step-by-step explanation:
Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:
First airplane
Where t is the time measured in hours.
Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:
Rate of change of such distance can be found by the deriving the expression in terms of time:
Where and
, respectively. Distances of each airliner at 2:30 PM are:
The rate of change is: