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Mathematics, 25.04.2021 01:40 kbelizaire6

General information: Your ship can sail 6 squares/month. Each square represents 125 miles.

Use the attached worksheet to chart each of the three courses as part of this project.

You should also include a separate document that details all of your work and answers to the questions in Parts 1-5. I have attached a sample document you can use for this, or you can create your own.

Part 1: Starting from Portugal at the blue star and traveling due west, draw one vector for each month of travel, connecting them tip to tail until you reach land.

In what country will you make landfall?
How many months will it take to reach land?
Part 2:
Unfortunately, the wind does not always blow the way you want! To determine how the wind affects our travel we will have to include the wind vector. First, draw your ship vector, just like in part 1. Now at the end of that vector, add the wind vector. Please label each ship vector and wind vector as → and → respectively. Now, draw the resulting vector, and label that as → . For example, the first ship vector, wind vector, and resultant vector will be named 1→ , 1→ , and 1→ . Do the same for the next month and each subsequent month until you reach land. Remember that the wind changes, so each month you will have to add a different wind vector. The list of different winds for each month is on the following line.

Month 1: 3 squares S
Month 2: 2 diagonal squares SE
Month 3: 4 squares W
Month 4: 3 diagonal squares SW
Month 5: 6 squares S
Where will you make landfall now?
How many months to reach land?
Part 3:
Calculate the actual total distance traveled by the ship on the way to your destination in Part 2. The actual distance traveled by the ship is sum of the resultant vectors for each month. Give your answer in miles, rounded to the nearest whole number.

Part 4:
Calculate the speed of the ship in both miles per month and miles per hour (rate = distance/time). Assume 31 days/month. Give your answers rounded to the nearest whole numbers.

Part 5:
Sail from your destination in Part 2 to the red star located on the African coast. Travel the same 6 squares each month. Plot your own course adding in wind vectors. Your course must include a minimum of 3 wind vectors that are different directions. Please write down the directions of your wind vectors as part of your work for this part. Then calculate the total distance in miles and speed of the ship in miles per month and miles per hour.

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General information: Your ship can sail 6 squares/month. Each square represents 125 miles.
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