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Pursuit Example Problem

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A dog walks north from a crossroads at 1 mile per hour. The dog's master begins one mile east of the crossroads and walks at all times directly at the dog with a speed of s>1 miles per hour.

1. Find the equation (in the form y = f(x)) that describes the path of the master.

2. When and where does the master overtake the dog if s=1.5?

3. Find the function that gives the meeting time in terms of s.

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