A river 100 ft wide is Mowing north atw feet per second. A dog starts at(100. 0) and swims at u0 = 4 ft/s, always heading toward a tree at (0, 0) on the west bank directly across from the dog’s starting point, (a) If w = 2 ft/s, show that the dog reaches the tree, (b) If w = 4 ft/s′ show that the dog reaches instead the point on the west bank 50 ft north of the tree, (c) If w = 6 ft/s, show that the doe never reaches the west bank.
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