QUESTION 5 Consider a river that flows east. A boat captain guides his boat across the river so that the boat heads in the direction 20.8 degrees west of north so that the boat ends up on the opposite bank directly across from her starting point in the north. If the speed of the boat with respect to the river is 11.5 mph, find the flow speed of the river. Enter your answer in mph.

A swimmer swims across a river at a velocity of 0.8 ms-1 in a direction perpendicular to the river banks. The water flows down the river at 0.6 ms-1. Find the resultant velocity of the swimmer and the direction.

4. Swims across Lake Erie are officially sanctioned by the Lake Erie Open Water Swimming Association. Your friend on the swim team wants to swim across the lake. The plan is that your friend will swim to Presque Isle starting at a location at Long Point, Ontario which is 24 miles due north of Presque Isle. You will be navigating a boat with a GPS. Your friend can maintain a speed of 1.80 mph in still water. All during the swim you observe that objects drifting in the water are moving at 0.70 mph to the east due to the current. a. What bearing should you maintain? That is what direction should you point the boat to reach Presque Isle? Give your answer relative to a compass direction (i.e., 30° north of west). Hint, you want your net velocity vector to be straight south. b. How long did it take your friend to swim across Lake Erie? c. What is the addition amount of time that your friend will need to swim compared to if there was no current (assume your friend swims at a constant rate)?

Find the x component of the vector described by "Ground control observes that the plane flies with speed 150 m/s at 40.0 degrees south of wesť"? Give your answer in m/s. Assume positive x points toward the east. Your Answer: Answer units