A river 100 ft wide is owing north atw feet per second. A dog starts at.100;0/ and swims
Chapter 3, Problem 71(choose chapter or problem)
A river 100 ft wide is owing north atw feet per second. A dog starts at.100;0/ and swims at v0 D 4 ft=s, always heading toward a tree at .0;0/ on the west bank directly across from the dogs starting point. (a) If w D 2 ft=s, show that the dog reaches the tree. (b) If w D 4 ft=s, show that the dog reaches instead the point on the west bank 50 ft north of the tree. (c) If w D 6 ft=s, show that the dog never reaches the west bank.
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