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 P105A. Pursuit Problems Part B:The Hare and the Tortoise You'll solve a problem individually tutorial style on WebAssign. Then you'll solve a more challenging problem in a small group.

Part A. Constant Velocity Pursuit

You've had practice now in using graphs of motion as well as in using dvat formulas to solve problems. We combine the two approaches in a category of problems called pursuit problems. The basic idea is that something tries to catch something else. Example 2-9 in your text is a pursuit problem about catching a speeder.

In Part A of P105, you'll be led through the solution of a problem that you may have seen before. Here's the problem:

The tortoise and the hare are having a race. The hare runs at 10 m/s and the tortoise at 1 m/s. The tortoise is given a head start of 100 m. Both start racing at the same time. When and where does the hare catch up to the tortoise?

A bit of history and math... A variation of this problem was posed around 450 BC by Zeno of Athens. He posed it as a paradox:  When the hare has run the 100 m, the tortoise has run 10 m. When the hare has run that 10 m, the tortoise has run another 1 m, and so on. How can the hare ever catch the tortoise? The resolution of the paradox is that an infinite series of steps can have a finite sum. In this case, 100 + 10 + 1 + 0.1 + ... = 111.111, repeating (or 1000/9). You may have already studied such series in a math class.