Question

An athlete needs to get across a river. He must reach from point A on one...

An athlete needs to get across a river. He must reach from point A on one bank to point B, which is directly across from point A on the opposite bank. If he wishes to minimize the total time T it would take to do so, at what angle upstreams (measured from the line AB) should he swim? Let his swimming/rowing speed relative to the water be 6.0 mi/h, and his running speed along the bank be 10 mi/h. The river flows downstream at 3.0 mi/h.

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
Swimming at 1.00 m/s relative to still water, a swimmer heads directly across a river of...
Swimming at 1.00 m/s relative to still water, a swimmer heads directly across a river of width 95 m. He arrives 35.0 m downstream from the point directly across the river from his starting point. (a) What is the speed of the current in the river?m/s (b) At what angle relative to the line perpendicular to the shore should he head to arrive at a point directly opposite his starting point? °
A swimmer heads directly across a river, swimming at her maximum speed of 1.40 m/s relative...
A swimmer heads directly across a river, swimming at her maximum speed of 1.40 m/s relative to the water. She arrives at a point 44.0 m downstream from the point directly across the river, 77.0 m wide. What is the speed of the river current? Tries 0/8 What is the swimmer's speed relative to the shore? Tries 0/8 In what direction (as an angle relative to a direct line across the river) should the swimmer aim instead, so that she...
A swimmer heading directly across a river that is 200 m wide reaches the opposite bank...
A swimmer heading directly across a river that is 200 m wide reaches the opposite bank in 6 min 40 s. During this swim, she is swept downstream 480 m. How fast can she swim in still water?what is the speed of the boat relative to an observer standing on the shore as it crosses the river?What is the speed of the current?
An athlete crosses a 23 m wide river by swimming perpendicular to the water current at...
An athlete crosses a 23 m wide river by swimming perpendicular to the water current at a speed of 0.35 m/s relative to the water. He reaches the opposite side at a distance 45 m downstream from his starting point. Randomized Variables w = 23 m d = 45 m vs = 0.35 m/s What is the speed of the swimmer with respect to a friend at rest on the ground in m/s?
Thomas and Ashley are swimming in a river which is 15 m wide. Both swim with...
Thomas and Ashley are swimming in a river which is 15 m wide. Both swim with a speed u = 1.2 m/s relative to the water, which is flowing downstream at a speed v = 0.25 m/s. They both leave a point on one bank at the same time. Thomas swims directly upstream a distance 15 m, then turns back and swims downstream to his starting point. Ashley points herself so that, taking account of the current, she can swim...
Brandon is on one side of a river that is 80 m wide and wants to...
Brandon is on one side of a river that is 80 m wide and wants to reach a point 300 m downstream on the opposite side as quickly as possible by swimming diagonally across the river and then running the rest of the way. Find the minimum amount of time if Brandon can swim at 2 m/s and run at 6 m/s. (Use decimal notation. Give your answer to two decimal places.) The minimum amount of time is
Sheena can row a boat at 2.40 mi/h in still water. She needs to cross a...
Sheena can row a boat at 2.40 mi/h in still water. She needs to cross a river that is 1.20 mi wide with a current flowing at 1.60 mi/h. Not having her calculator ready, she guesses that to go straight across, she should head upstream at an angle of 25.0° from the direction straight across the river. A) What is her speed with respect to the starting point on the bank? B) How long does it take her to cross...
Grade 12 Calculus Question Ryan, in his canoe is trying to cross a river that is...
Grade 12 Calculus Question Ryan, in his canoe is trying to cross a river that is 150 m wide. If the water is flowing at a speed of 5 km/h and his boats still water speed is 10 km/h. a. If he points his boat directly across the river what will the resultants speed of his canoe be? b. How far downstream does Ryan end up? c. If Ryan wants to end up directly across the river from where he...
Drew wants to get back to his campsite on the beach as fast as possible. He...
Drew wants to get back to his campsite on the beach as fast as possible. He is swimming at a point in the water that is 300 feet from the shore at its closest distance, and his campsite is 3000 feet down the (perfectly straight) shore from there. In order to minimize his time, he wants to swim to some point (x) on the shore and then run the remaining distance. (x = 0 means he’s swimming the 300 feet...
A river flows due south with a speed of 1.7 m/s . A man steers a...
A river flows due south with a speed of 1.7 m/s . A man steers a motorboat across the river; his velocity relative to the water is 3.8 m/s due east. The river is 840 m wide. What is the magnitude of his velocity relative to the earth? What is the direction of his velocity relative to the earth? How much time is required to cross the river? How far south of his starting point will he reach the opposite...