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It travels 49 mi upstream and 49 mi downstream in a total time of hr. What is the speed of the current? In every example I can find of this type of problem, the respective times traveled upstream and downstream are given, but not the distance. Here we have the distance traveled upstream and the distance traveled downstream, and the cumulative time traveled overall, but not the times traveled upstream and downstream. How do I go about finding the speed of the river current given these data points? linear-algebra. Upstream and downstream problem using relative velocity. Ask Question. Asked 7 months ago.� This is of course an easy problem and can be easily solved by writing the distance travelled by boat in upstream and downstream motion. But the solution given in the book is very different. It involves the idea of relative motion. The author wrote that �In the water�s frame of reference, it is clear that departing from the barge and returning to it took exactly the same amount of time.� Proof of this fact: Working in water�s frame of reference, we see that the barge is at rest and the boat is travelling with uniform speed throughout the journey. Also, In the downstream and upstream motion, cha. Problem Statement. If a man travel's by his motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of the boat, then his total travel time gets reduced by 75%. The ratio of the original speed fo the boat to speed of the river is? Strategy. The boat problem usually has 3 components to it. speed of the river. Sr.

Lake Erie is the fourth-largest lake by surface area of the five Great Lakes in North America and the eleventh-largest globally. At its deepest point Lake Erie is feet 64 metres deep. These jurisdictions divide the surface area of the lake with water boundaries.

The main natural outflow from the lake is via the Niagara River , which provides hydroelectric power to Canada and the U. Catharines on Lake Ontario , an elevation difference of ft 99 m.

Lake Erie's environmental health has been an ongoing concern for decades, with issues such as overfishing , pollution , algae blooms , and eutrophication generating headlines. Lake Erie It has a surface area of 9, square miles 25, km 2 [7] with a length of statute miles km ; nmi [7] and breadth of 57 statute miles 92 km; 50 nmi [7] at its widest points.

It is the shallowest of the Great Lakes with an average depth of 10 fathoms 3 feet or 63 ft 19 m [7] and a maximum depth of 35 fathoms ft; 64 m [7] [8] Because Erie is the shallowest, it is also the warmest of the Great Lakes, [16] and in this almost became a problem for two nuclear power plants which require cool lake water to keep their reactors cool. In a tug of war against the waves, the two were finally hauled out Boat Travel Upstream And Downstream Problems Apk by rope.

After being trapped for an hour-and-a-half, Baker was back on dry land, exhausted and battered but alive. The drainage basin covers 30, square miles 78, km 2.

Point Pelee National Park , the southernmost point of the Canadian mainland, is located on a peninsula Boat Travel Upstream And Downstream Problems Right extending into the lake. Lake Erie has 31 islands 13 in Canada, 18 in the U. Pelee Island is the largest of the Lake Erie islands. Lake Erie has a lake retention time of 2. Generally, the lowest levels are in January and February and the highest in June or July, although there have been exceptions. The average yearly level varies depending on long-term precipitation. Short-term level changes are often caused by seiches that are particularly high when southwesterly winds blow across the length of the lake during storms.

These cause water to pile up at the eastern end of the lake. Storm-driven seiches can cause damage onshore. During one storm in November , the water level at Buffalo rose by 7 feet 2. Lake Erie was carved out by glacier ice [6] and in its current form is less than 4, years old, which is a short span in geological terms. Before this, the land on which the lake now sits went through several complex stages. A large lowland basin formed over two million years ago as a result of an eastern flowing river that existed well before the Pleistocene ice ages.

This ancient drainage system was destroyed by the first major glacier in the area, while it deepened and enlarged the lowland areas, allowing water to settle and form a lake. The glaciers were able to carve away more land on the eastern side of the lowland because the bedrock is made of shale which is softer than the carbonate rocks of dolomite and limestone on the western side. Thus, the eastern and central basins of the modern lake are much deeper than the western basin, which averages only 25 feet 7.

As many as three glaciers advanced and retreated over the land, causing temporary lakes to form in the time periods in between each of them. Because each lake had a different volume of water, their shorelines rested at differing elevations. The last of these lakes to form, Lake Warren , existed between about 13, and 12, years ago.

It was deeper than the current Lake Erie, and its shoreline existed about eight miles 13 km inland from the modern one. The shorelines of these lakes left behind high ground sand ridges that cut through swamps and were used as trails for Indians and later, pioneers. These trails became primitive roads which were eventually paved.

Route 30 west of Delphos, Ohio , and U. Route 20 west of Norwalk and east of Cleveland were formed in this manner. There, the sandy dry lake bed soil was not sufficient to support large trees with the exception of a few species of oaks, forming a rare oak savanna. At the time of European contact, there were several groups of Native American cultures living around the shores of the eastern end of the lake. The Erie tribe from whom the lake takes its name lived along the southern edge, while the Neutrals also known as Attawandaron lived along the northern shore.

The tribal name "erie" is a shortened form of the Iroquoian word erielhonan , meaning "long tail". Both the Erie and Neutrals were conquered and assimilated by their hostile eastern neighbors, the Iroquois Confederacy between and during the Beaver Wars. As the power of the Iroquois waned during the last quarter of the 17th century, several other, mainly Anishinaabe Native American tribes, displaced them from the territories they claimed on the north shore of the lake.

British authorities in Canada were nervous about possible expansion by American settlers across Lake Erie, so Colonel Thomas Talbot developed the Talbot Trail in as a way to stimulate settlement to the area; Talbot recruited settlers from Ireland and Scotland, and there are numerous places named after him in southern Ontario, such as Port Talbot , the Talbot River , and Talbotville. In , rebellions broke about between Canadian settlers and the British Colonial government.

These primarily concerned political reforms and land allocation issues. Some of the rebels stationed themselves in the U. Settlers established commercial fisheries on the north coast of the lake around the s. Prior to modern radar and weather forecasting , merchant ships were often caught up in intense gales:. A violent gale is blowing on Lake Erie The schooner Stranger came in this morning and reports seeing a vessel about 12 miles [19 km] up, 2 miles [3.

There were reports of disasters usually from sea captains passing information to reporters; in , the captain of the Grace Whitney saw a sunken vessel with "three men clinging to the masthead," but he could not help because of the gale and high seas.

A balloonist named John Steiner of Philadelphia made an ambitious trip across the lake in He arose to the height of about three miles, and started off at a slow but steady rate The lake could be seen from one end to the other nearly At one time Mr. Steiner counted 38 sail vessels, all in sight, and far below him. The hands on board several of the vessels saw him, and rightly apprehending that he was an aeronaut, cheered him heartily He neared the Canada shore a little below Long Point Night was drawing on and it became apparent that he could not, with this current, get away from the water before dark, and after nightfall it would not be safe to come down.

Seeing a propeller powered boat He first struck the water about 25 miles below Long Point During this time Mr. Steiner says he thinks his balloon bounded from the water at least twenty times. It would strike and then rebound, like a ball, going into the air from twenty to fifty feet, and still rushing down the lake at railroad speed Steiner then abandoned the balloon, leaping into the water and swimming towards the boat, which speedily reached him In , lake winds were so strong that water levels dropped substantially, sometimes by as much as two feet, so that at ports such as Toledo, watercraft could not load coal or depart the port.

The preservation of the fisheries of Lake Erie has become a serious problem to all who have given it close attention If left undisturbed for two or three years more, these little fish would be a very valuable product Predictions of the lake being over-fished in were premature, since the fishery has survived commercial and sport fishing, pollution in the middle of the 20th century, invasive species and other ailments, but state and provincial governments, as well as national governments, have played a greater role as time went by.

Business boomed; in , the Carnegie Company proposed building a new harbor near Erie, Pennsylvania, in Elk Creek to accommodate shipments from its tube-plant site nearby. During the Prohibition years from to , a "great deal of alcohol crossed Erie" [20] along with "mobster corpses" dumped into the Detroit River which sometimes washed up on the beaches of Pelee Island.

The Coast Guard attempted to interdict the Canadian liquor with its Rum Patrol , [50] [51] [52] [53] [54] and a casino operated on Middle Island. During the 20th century, commercial fishing was prevalent but so was the boom in manufacturing industry around the lake, and often rivers and streams were used as sewers to flush untreated sewage which ended up in the lake.

By the popular commercial fish blue pike had been declared extinct, although the declaration may have been premature. The compact was signed into law by President George W. Bush in September An international water rights policy overseen by the Great Lakes Commission, the compact aims to prevent diversion of water from Great Lakes to distant states, as well as to set standards for use and conservation.

It had support from both political parties, including United States Senator George Voinovich of Ohio and Governor Jennifer Granholm of Michigan, but is not popular in the southwestern states because of frequent drought conditions and water scarcity.

Like the other Great Lakes, Erie produces lake-effect snow when the first cold winds of winter pass over the warm waters. As cold air flows over the warm water, the lake warms and moistens the air.

Since warm, moist air is less dense than cold air, the heated air rises. Rising air cools and water vapor condenses into cloud droplets Friction with the ground causes air to pile up. This frictional convergence creates lift and enhances snowfall. Heavy lake-effect snowfalls can occur when cold air travels 60 miles 97 km or longer over a large unfrozen lake.

Buffalo typically gets 95 inches cm of snow each winter and sometimes ten feet 3. A storm around Christmas in pounded Buffalo with 7 feet 2. The effects of the warmer lake water is reduced when the lake freezes over. The first ice usually forms in late November, and by January it locks into place.

For islanders in the Western Basin, it is the equivalent of summer vacation Once the lake freezes, islanders organize impromptu ice rallies. Families gather to drink hot wine and race all-terrain vehicles across the lake. They also race iceboats , which resemble sailboats on skates Many people drive to other islands for dinner with friends.

They ride in cars with the roofs and doors chopped off so they can escape if the vehicles fall through the ice. Islanders stab evergreen trees into the ice every 50 yards [46 m] to mark a route Even in the coldest winters, there are dangerous patches of thin ice.

On a normal winter day, the ice is dotted with 2, fishing shanties. Strong winds have caused lake currents to shift sediment on the bottom, leading to shifting sandbars that have been the cause of shipwrecks.

Conclusion:

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