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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. .

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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The tortoise won because the hare was too confident. The hare had a sleep which allowed the tortoise to get to the winning line first.

The tortoise won because the hare was too confident. The hare had a sleep which allowed the tortoise to get to the winning line first.

The slow-crawling, hard-shelled animal is a turtle (some also tortoise).

The tortoise's character traits are slow and steady. The hare's character traits are fast, boastful and over-confident.

One is found in Æsop's fable 'The tortoise and the hare.' They race and hare is so confident of winning that he takes a nap during the race. The tortoise keeps on going and wins the race...

Well - lets put it into context. That's a distance of about 335 miles. A human would take about 116 hours to walk it IF they walked at a constant speed of three miles per hour non-stop.. A tortoise would likely take at least four or five times longer !

To catch up with the bunny, the tortoise needs to cover the initial distance between them. The time it takes can be calculated using the equation: distance = initial separation + (tortoise speed * time) + 0.5 * acceleration * time^2. With the given values, you can find the time it takes for the tortoise to catch the bunny.

The Galapagos tortoise

A leopard tortoise. :)

...Tortoise.

you draw the tortoise and then rub out its body

The word tortoise forms a regular plural, tortoises.