Question
Asked Oct 18, 2019
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Two people start biking from the same point. One heads east at 13 mph, the other south at 17 mph. What is the rate at which the distance between the two people is changing after 30 minutes?

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Expert Answer

Step 1

Given, two bikers start at same point. One heading east at 13mph and other heading south at 17 mph.

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13 mph A E W d (АB) -13 трh dt d (АC)-17 тph dt 17 mph

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Step 2

So, triangle ABC is construct. Apply Pythagoras theorem,

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BC2 AB2AC ...1)

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Step 3

After 30 minutes, means...

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AB 13 mphx-h= 6.5miles 17 mphxh= 8.5miles AC

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Tagged in
MathCalculus

Derivative