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Activity 1.13 - Vector Problems II 1. At a golf course, a par 3 hole is 80 meters 15 degrees east of south from the tee. Your first shot is 70 meters but 10 degrees west of south. a. How far are you from the hole after the first shot. b. What direction should you hit your shot to get the ball in the hole. Give angle relative to a compass direction, i.e., 5 degrees north of east. Start by drawing the vectors in involved (with arrows). Use your diagram to determine the relation between the three vectors. 2. 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, in what direction should you point the boat to reach Presque Isle? Give your answer relative to a compass direction (ie, 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)?

Activity 1.13 - Vector Problems II 1. At a golf course, a par 3 hole is 80 meters 15 degrees east of south from the tee. Your first shot is 70 meters but 10 degrees west of south. a. How far are you from the hole after the first shot. b. What direction should you hit your shot to get the ball in the hole. Give angle relative to a compass direction, i.e., 5 degrees north of east. Start by drawing the vectors in involved (with arrows). Use your diagram to determine the relation between the three vectors. 2. 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, in what direction should you point the boat to reach Presque Isle? Give your answer relative to a compass direction (ie, 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)?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Activity 1.13-Vector Problems II 1. At a golf course, a par 3 hole is 80 meters 15 degrees east of south from the tee. Your first shot is 70 meters but 10 degrees west of south. a. How far are you from the hole after the first shot. b. What direction should you hit your shot to get the ball in the hole. Give angle relative to a compass direction, i.e., 5 degrees north of east. Start by drawing the vectors in involved (with arrows). Use your diagram to determine the relation between the three vectors. 2. 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, in what direction should you point the boat to reach Presque Isle? Give your answer relative to a compass direction (Le., 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:Activity 1.13-Vector Problems II 1. At a golf course, a par 3 hole is 80 meters 15 degrees east of south from the tee. Your first shot is 70 meters but 10 degrees west of south. a. How far are you from the hole after the first shot. b. What direction should you hit your shot to get the ball in the hole. Give angle relative to a compass direction, i.e., 5 degrees north of east. Start by drawing the vectors in involved (with arrows). Use your diagram to determine the relation between the three vectors. 2. 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, in what direction should you point the boat to reach Presque Isle? Give your answer relative to a compass direction (Le., 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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