Question

Two cars start moving from the same point. One travels south at 56 mi/hr and the other
travels west at 42 mil/hr. At what rate is the distance between the cars increasing two hours later?

Step 1: Write all the rates in the problem (including the one you are trying to find) as
derivatives.

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Step 2: Identify the dependent variables in the derivatives. Find an equation relating
the dependent variables in the derivatives. You will often need a formula from
geometry for this.

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Step 3: Differentiate both sides of the equation from Step 2 with respect to the
independent variable time. The result will be an equation relating the rates (relating the
derivatives).

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Step 4: Substitute the values that you are given in the problem for the derivatives and
the variables and solve for the derivative for which the question is asking.

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THANKS FOR ANY HELP!

Answer 1

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