You are a member of a geological team in Central Africa. Your team comes upon a...

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Physics

You are a member of a geological team in Central Africa. Yourteam comes upon a wide river that is flowing east. You mustdetermine the width of the river and the current speed (the speedof the water relative to the earth). You have a small boat with anoutboard motor. By measuring the time it takes to cross a pondwhere the water isnt flowing, you have calibrated the throttlesettings to the speed of the boat in still water. You set thethrottle so that the speed of the boat relative to the river is aconstant 6.00 m/s. Traveling due north across the river, you reachthe opposite bank in 20.1 s. For the return trip, you change thethrottle setting so that the speed of the boat relative to thewater is 8.20 m/s . You travel due south from one bank to the otherand cross the river in 11.2 s.
With the throttle set so that the speed of the boat relative tothe water is 6.00m/s, what is the shortest time in which you couldcross the river?

Answer & Explanation Solved by verified expert

4.1 Ratings (504 Votes)

Given details Speed of boat while swimming north v1 600 ms Speed of boat while swimming south v2 820 ms Time taken swimming north t1 201 s Time taken swimming south t2 112 s Assumptions Let the speed of river See Answer

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