A man is stands 1 mi east of a crossroads. At noon, a dog starts walking north from the crossroads at 1 mi/hr (see figure). At the same instant, the man starts walking and at all times walks directly toward the dog at s > 1 mi/hr. The path in the xy plane followed by the man as he pursues his dog is given by the function

Select various values of s > 1 and graph this pursuit curve. Comment on the changes in the curve as s increases.

Transcribed Image Text:

x (S+1)7s x(s=1)7S y = f(x) 2 s2 – 1 y (north) A Dog Man 1 х (east)