You are on the west bank of a river which flows due south and want to swim to th

Question

You are on the west bank of a river which flows due south and want to swim to the east bank. You have told your friends to meet you on the east bank directly opposite your starting point. Before starting out, you realize that, since the river is flowing swiftly at a speed of 12 ft/s and since your fastest swimming speed in still water is only 5 ft/s, you will inevitably be carried downstream. Nevertheless, you want to minimize the effort expended by your friends in walking downstream to meet you. Your guide book to the region tells you that the width of the river is 300 ft. After a quick calculation, you call your friends on your cellular phone and tell them to start walking to a new meeting point. How far downstream of the original meeting point should you tell them to walk? Your solution must include the following steps: Focus the Problem Describe the physics Plan the Solution Execute & Evaluate

Explanation / Answer

suppose he is going with a velocity of 5ft/sec pointing straight time reqd to cross the river = 300/5=60sec the distance moved by him downsteam=60*12=720ft

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