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 Discussion: All Lesson Plans in Calculus on TI Calculator Topic: teacher needs help!

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 Subject: RE: teacher needs help! Author: Chuck Date: Dec 14 2004
150 mph, but not because it is the Pyth triple.

This is a standard rates problem using the distance formula.  If y is the car's
distance north of the intersection, and x the truck's distance east, then the
distance between the two is s^2 = x^2 + y^2.
Using implicit differentiation, 2ss' = 2xx' + 2yy', and at t=2 hr, x = 90mi, y =
120mi, s = 150mi, x' = 45mph and y'=60mph.  Then s' = 150 mph.

Dr. Math can give good help on these kind of problems.

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