SOLUTION: Starting from the same point, Reden starts walking eastward at 60 cm/s while Neil starts running towards the south at 80 cm/s. How fast is the distance between Reden and Neil incre

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Question 1193962: Starting from the same point, Reden starts walking eastward at 60 cm/s while Neil starts running towards the south at 80 cm/s. How fast is the distance between Reden and Neil increasing after 2 seconds?
Answer by ikleyn(52817) About Me  (Show Source):
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Starting from the same point, Reden starts walking eastward at 60 cm/s
while Neil starts running towards the south at 80 cm/s.
How fast is the distance between Reden and Neil increasing after 2 seconds?
~~~~~~~~~~~~~~~ 

The distance between them is (Pythagoras)  

    d = sqrt%28%2860t%29%5E2+%2B+%2880t%29%5E2%29 = %28sqrt%2860%5E2%2B80%5E2%29%29%2At = 100t.


The problem asks to calculate the derivative d'(t) at t= 2 seconds.


The derivative is d'(t) = 100.  It is constant and does not depends on time.


So, the answer is: the distance between Reden and Neil uncreases at the constant rate of 100 cm per second.

Solved.