Response to the following Problem:
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.