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)?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
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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)?
Transcribed Image Text: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)?
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