You are riding a boat straight across a river toward a tree on the other side. When you get to the other side, you find yourself 40 meters to the right of the tree. Use the following terms to explain what happened: vector, resultant, current, displacement, and direction.
The water current is flowing to the right with a velocity v. The boat is moving perpendicular to the stream with a velocity u. The final velocity is the vector sum of u and v and the boat is displaced by 40 m to the right. The direction can be written as tan-1(v/u)
You are riding a boat straight across a river toward a tree on the other side....
A boat traveling at 12.50 m/s relative to the water aims to go straight across a river. If the river is 109.0 m wide and the current in the river is 3.50 m/s, how far downstream will the boat land on the other side of the river? Calculate the answer in meters (m) and rounded to three significant figures.
A swimmer attempts to reach the other side of the Fraser River, which has a width of 35m near Hell's Gate1. This swimmer can swim at 11.6m/s, but Fraser River has a downstream current moving at roughly 0.50m/s to the west. a) If the swimmer heads straight north for the other side of Fraser River, how long will that take? b) If there were NO current, would the swimmer take just as long as in question "a"? Why or why...
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1. A 0.25 km wide river has a uniform flow speed of 4.2 m/s toward the east. It takes 23 s for a boat departing from the south bank to travel straight across the river to a position directly north of its departure. a) In what direction must the boat be pointed so as to accomplish this? Express your final answer relative to the North direction. (Hint: Start by drawing a right triangle representing the vector addition)...
You ride a boat across a river, and your velocity relative to the ground is 9.50 m/s at an angle of 20.0◦ upstream.1 The current in the river has a speed of 2.00 m/s. (a) What is the speed of the boat speed relative to water? (b) What is the direction of the boat’s heading how do I determine the direction of the current? it bothered me for a long time.
20. Three jealous wives and their husbands come to a river. The party must cross the river (from near shore to far shore) in a boat that can hold at most two people. Find a sequence of boat trips that will get the six people across the river without ever letting any husband be alone (without his wife) in the presence of another wife. 28. Let T be a spanning tree in a connected undirected graph G. Show that when any...
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°).
You are trying to cross a river. You are able to swim with a speed of 15 m/s with respect to the water. If you are angled at 25 degrees to the left but still make it straight across, what must be the current of the river? If the river is 35m across, how long does it take to get to the other side?
velocity 10 km at SOP south of west. The the final position of the second helicopter 2) 7wo helicopters take off from the same landing area. One proceeds to km at se second lies 8 km in the direction 65° south of cast. Determine the final position of th with respect to the first direction must his heading he? 7 he is 90 8 9 3) The pilot of an airplane is trying to fly due west toward an airport....
1 1 Cos N 12. (2 points each) A straight river flows south at a speed of 2 miles per hour. Jim starts swimming from the west side of the river at 4 miles per hour at direction of N 30°E a) Express the true velocity at which Jim is swimming as a component vector. 20-2 J J2,213-2 4 0056 J22,27) b) Find the true speed and direction at which Jim is swimming. 17+JI tan c) Suppose now that Maria...
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15. A boat is moving due east across a river with a velocity of 4 feet per second. The river current is moving due south with a velocity of 3 feet per second. What is the resultant average velocity (both magnitude and direction) of the boat? Round your answers to the nearest tenth. 16. Find a vector of length 2 in...