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Suppose the following reading:

Odometer = 1 km Speedometer = 1 km/hr.

The driver accelerates in such a way that both remain the same.

Is there a situation where both can remain the same ?

Can a function of distance wrt time be given? Can a function of speed wrt time be given?

What would be the speed after 100 kms on odometer?

Ortega
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1 Answers1

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Solve for distance $= f(t) = f'(t) = $ speed. You can use initial conditions $f(0) = 1$ (why?) to get a very familiar function.

To answer your question on what the speed will be when the odometer reads $100$, you know by definition these readings are going to be equal.

Macavity
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