You want to swim straight across a river that is 76 m wide. You find that you can do this if you swim at an angle of θ = 28° from the upstream direction at a constant rate of 1.5 m/s relative to the water. At what rate does the river flow? The angle θ is measured from the river bank (directly upstream is θ = 0° while directly across the river is θ = 90°).
Here V is your velocity. The figure shows the directions and angle mentioned in the question.
You want to swim straight across a river that is 76 m wide. You find that...
A 260 -m-wide river has a uniform flow speed of 1.5 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 3.6 m/s with respect to the water. There is a clearing on the north bank 66 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative...
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You attempt to swim across a river 120 meters wide, and can swim at 2.6 m/s in still water. You set off aiming to arrive a point 50 meters downstream of your starting point. However, you fail to take into account the flow of the water, and because of this you land on the opposite bank 100 meters downstream of your starting point. What is the speed of the flow of water, in m/s?
A 210 -m-wide river has a uniform flow speed of 0.72 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 6.0 m/s with respect to the water. There is a clearing on the north bank 71 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative...
A 330-m-wide river has a uniform flow speed of 1.1 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 7.1 m/s with respect to the water. There isa clearing on the north bank 45 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative to the...
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2. A swimmer wants to swim across a river that rus east to west with a current of 0.5 m s1 and is 30 m wide. He plans to swim from the south bank of the river to the north bank and can swim at a steady speed of 2 m s-1, current (a) If he wants to arrive on the north bank directly north of his starting point (the point directly on the opposite side of the river), what...
Please thoroughly explain, especially the angle part. Thanks! A 290 -m-wide river has a uniform flow speed of 0.95 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 7.6 m/s with respect to the water There is a clearing on the north bank 64 m upstream from a point directly opposite the clearing on the...
A river 105.1 m wide flows toward the south at 33.6 m/min. A girl on the west bank wishes to reach the east bank in the least possible time. She can swim 105.1 m in still water in 1.70 min. (c) What is her velocity relative to land? Magnitude direction south of east (d) What is the total distance she travels? (e) In what direction must she swim if she wishes to travel straight across the river?