Question

Jerome and Paul are competitive brothers. They live on a small farm on the northern bank...

Jerome and Paul are competitive brothers. They live on a small farm on the northern bank of a river that runs purely east and west and that flows to the east at a rate of 1.200 m/s .  

The brothers like to visit their Uncle Leo who lives on the southern bank of the river. The river is wide at this point, 1410.0 m across, and their uncle's dock is 205.0 m to the east of the point which is directly across the river from the brothers' house. Paul is not nearly as strong a paddler as is Jerome, but paddling together they can maintain a paddling speed of 3.780 m/s in the farm pond. Jerome knows that if they point their canoe due south, they will always end up to the east of Uncle Leo's dock by the time they have paddled across the river. He wants to know in which direction they should head to arrive exactly at Uncle Leo's dock without any wasted effort. Paul is finally able to determine the proper direction by using the Law of Sines, which he has learned in his high school geometry class. Make a proper drawing to express the sum of velocities for this problem, and figure out how Paul was able to determine the direction.

Part B: In which direction must they head if they wish to paddle directly to Uncle Leo's dock? Give the direction in terms of an angle measured to the West of the Southerly direction. Also, if they point their canoe in the optimal direction, what will be the speed of their canoe with respect to the bank as they are crossing?

Give your answer as an ordered pair, with the optimal direction in which to point their canoe first, followed by a comma, then followed by the resulting speed of the canoe with respect to the bank. Give the direction in terms of an angle measured to the West of the Southerly direction.

Part C: If they point their canoe in the optimal direction, how long will it take for them to cross the river?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Four friends (Amy, Brian, Camila, and Dinesh) are standing on the east bank of the Mississippi...
Four friends (Amy, Brian, Camila, and Dinesh) are standing on the east bank of the Mississippi river and wish to cross to the west bank using a canoe. From previous experience, Amy knows that she can row (one-way) across the river in 5 minutes. She also knows that rowing back would take her 4 minutes more (because of fatigue). More generally, the time Amy needs to cross the river on her k th bank-to-bank trip is adequately represented by the...
CASE Wyatt Earp - The Buffalo Hunter F. Robert Jacobs, Indiana University The legend of Wyatt...
CASE Wyatt Earp - The Buffalo Hunter F. Robert Jacobs, Indiana University The legend of Wyatt Earp lives on largely based on his exploits as a gunfighter and Marshall of the frontier West in the 1880s. The classic tales of the shootout at the O.K. Corral in Tombstone or his sawed-off shotgun duel with Curly Bill are possibly the most celebrated gunfights of frontier history and cannot fail to stir the reader's imagination. Wyatt lived to be over 80 years...
What tools could AA leaders have used to increase their awareness of internal and external issues?...
What tools could AA leaders have used to increase their awareness of internal and external issues? ???ALASKA AIRLINES: NAVIGATING CHANGE In the autumn of 2007, Alaska Airlines executives adjourned at the end of a long and stressful day in the midst of a multi-day strategic planning session. Most headed outside to relax, unwind and enjoy a bonfire on the shore of Semiahmoo Spit, outside the meeting venue in Blaine, a seaport town in northwest Washington state. Meanwhile, several members of...
Delta airlines case study Global strategy. Describe the current global strategy and provide evidence about how...
Delta airlines case study Global strategy. Describe the current global strategy and provide evidence about how the firms resources incompetencies support the given pressures regarding costs and local responsiveness. Describe entry modes have they usually used, and whether they are appropriate for the given strategy. Any key issues in their global strategy? casestudy: Atlanta, June 17, 2014. Sea of Delta employees and their families swarmed between food trucks, amusement park booths, and entertainment venues that were scattered throughout what would...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT