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

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(52818) (Show Source): You can put this solution on YOUR website!
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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 =  =  = 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.

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