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[post_date] => 2025-01-09 07:09:41
[post_date_gmt] => 2025-01-09 12:09:41
[post_content] => Practice Passage (Question 1-5)
*This passage is the property of Khan Academy and has been reformatted into an AAMC-style interface in their entirety by MedLife Mastery. MedLife Mastery does not endorse and is not an affiliate of Khan Academy.
In 2009, an outbreak of swine flu in Finland resulted in significant damage to the economy. In an effort to stem the spread of the virus, researchers investigated the potential cause of the disease. Through scientific experimentation, they were able to identify the disease as a new strain of African swine fever.
The researchers decided to engage in preliminary research by field observation. The team tracked the migration patterns of wild boars in the plains. Their journal log looks like the following:
Day 1: We started traveling from base camp today and hiked 23 miles due East. We found a small group of 12 wild boars.
Day 2: We continued to follow the group of 12 wild boars. We hiked 17 more miles due East. At the end of the day, the wild boars joined with another group of 15 wild boars to form a larger group.
Day 3: The group of 27 wild boars turned north. We followed them 30 miles due north. The wild boars settled at a watering hole near the river.
[post_title] => Swine flu in Finland
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[quiz_unique_key] => 578908434
[question] => What was the total distance traveled by the research team?
[value] => Array
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[answer] => 3
[description] => Reason for the Correct Answer:
Distance traveled is a scalar and is equal to the total length traveled.
The research team traveled 23 miles the first day, 17 miles the second day, and 30 miles the third day.
Adding up the distances traveled by the research team during each of the three days gives 23 miles + 17 miles + 30 miles = 70 miles
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[answers] => Array
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[each_answer] => A. 40 miles
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[each_answer] => B. 30 miles
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[each_answer] => C. 70 miles
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[3] => Array
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[each_answer] => D. 50 miles
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[1] => Array
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[quiz_unique_key] => 3873426850
[question] => Which calculation would give the angle (as measured counterclockwise from the eastward direction) of the total displacement vector after day 3 for the research team from their base camp?
[value] => Array
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[answer] => 1
[description] => Reason for the Correct Answer:
Tangent theta of a right triangle is given by opposite over adjacent.
The opposite side of the angle will be 30 miles, the adjacent side will be 40 miles.
Tangent theta will equal 30/40. So taking an inverse tangent of 30/40 will give the angle of the displacement vector.
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[answers] => Array
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[0] => Array
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[each_answer] => A. tan⁻¹(30/40)
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[1] => Array
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[each_answer] => B. tan⁻¹(40/50)
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[2] => Array
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[each_answer] => C. tan⁻¹(30/50)
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[3] => Array
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[each_answer] => D. tan⁻¹(40/30)
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[2] => Array
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[quiz_unique_key] => 83407773
[question] => What was the total displacement of the research team from their base camp?
[value] => Array
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[answer] => 1
[description] => Reason for the Correct Answer:
Displacement is a vector that is directed from the initial position to the final position.
The researchers traveled in a right triangle. The length c of the hypotenuse of a right triangle is given by the Pythagorean theorem a² + b² = c².
One side of the triangle traveled by the researchers was 17 miles + 23 miles = 40 miles East. The other side of the triangle was 30 miles North. Using Pythagorean theorem, this makes the hypotenuse equal to the square root of 40². + 30². Taking the square root gives 50 miles.
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[answers] => Array
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[each_answer] => A. 50 miles North East
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[1] => Array
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[each_answer] => B. 74 miles North East
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[2] => Array
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[each_answer] => C. 46 miles North East
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[3] => Array
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[each_answer] => D. 32 miles North East
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[3] => Array
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[quiz_unique_key] => 2261298308
[question] => If, on the next day, the boars traveled 30 miles South, what would be the team’s displacement?
[value] => Array
(
[answer] => 1
[description] => Reason for the Correct Answer:
A vector is different from a scalar in that it has both magnitude and direction.
Displacement is the vector from the initial position to the final position.
The team would have to go back 30 miles, eliminating the displacement to the North. This means the net displacement would be a straight line of 40 miles due East from the starting point.
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[answers] => Array
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[0] => Array
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[each_answer] => A. A vector of 40 miles East
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[1] => Array
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[each_answer] => B. A scalar of 40 miles East
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[2] => Array
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[each_answer] => C. A vector of 40 miles
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[3] => Array
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[each_answer] => D. A scalar of 40 miles
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[quiz_unique_key] => 2261298308
[question] => If after day 4, the researchers end up back at their base camp which of the following would be true about the research team’s distance and displacement?
[value] => Array
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[answer] => 4
[description] => Reason for the Correct Answer:
Distance traveled is the total length of the path taken
Distance traveled is a scalar and can never be negative.
Since distance traveled can never be negative, there is no way to cause the distance traveled to decrease, and therefore no matter what path is taken, the distance in returning to base camp will be bigger than the total displacement which would be zero.
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[answers] => Array
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[0] => Array
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[each_answer] => A. The distance would be less than the displacement since they traveled farther East than they did North
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[1] => Array
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[each_answer] => B. The distance and the displacement would be equal to zero since they make it back to their base camp
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[2] => Array
(
[each_answer] => C. It is impossible to say since we don’t know which path the team took in traveling back to base camp
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[3] => Array
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[each_answer] => D. The distance would be greater than the displacement since the displacement would be zero after arriving back at base camp
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)
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[total_question] => 5
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[556232|1] => C
[556232|2] => A
[556232|3] => A
[556232|4] => A
[556232|5] => D
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