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Assuming the y-axis represents distance from the finish line, and they both move at a constant velocity IOW v(t)=m(t)+b, the animal with the higher negative m-value will win every time.

If the hare's velocity changes at times, then his average velocity would determine his finish time. If the hare's (v(t+h)-v(t))/h results in a higher negative slope than the turtle's, the hare would still win. .

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Q: A tortoise and a hare are running in a race distance is vertical scale of your graph and time is the horizon scale tortoise keeps crawling at constant rate confident he will win every once in a while?
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