course phy 121 This doesn't look like all my work is here? I'm not sure what to do.
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11:24:21 `q001. It will be very important in this course for your instructor to see and understand the process of visualization and reasoning you use when you solve problems. This exercise is designed to give you a first experience with these ideas, and your instructor a first look at your work. Answer the following questions and explain in commonsense terms why your answer makes sense.
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RESPONSE --> ok
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11:30:18 For each question draw a picture to make sense out of the situation, and include a description of the picture. Samples Sample question and response Question: If a bundle of shingles covers 30 square feet, how many bundles are required to cover a 600 square foot roof? Response: We might draw a picture of a rectangle representing the area, dividing the rectangle into a number of smaller rectangles each representing the area covered by a single bundle. This makes it clear that we are dividing the roof area into 1-bundle areas, and makes it clear why we are going to have to divide. Reasoning this problem out in words, we can say that a single bundle would cover 30 square feet. Two bundles would cover 60 square feet. Three bundles would cover 90 square feet. We could continue in this manner until we reach 600 square feet. However, this would be cumbersome. It is more efficient to use the ideas of multiplication and division. We imagine grouping the 600 square feet into 30 square foot patches. There will be 600 / 30 patches and each will require exactly one bundle. We therefore require 600 / 30 bundles = 20 bundles. {}Your responses might not be as clear as the above, though they might be even more clear. I won't be looking for perfection, though I wouldn't object to it, but for a first effort at visualizing a situation and communicating a reasoning process. This is not something you are used to doing and it might take a few attempts before you can achieve good results, but you will get better every time you try. {}You might be unsure of what to do on a specific question. In such a case specific questions and expressions of confusion are also acceptable responses. Such a response must include your attempts to come up with a picture and reason out an explanation. For example your response might be Sample expression of confusion: I've drawn a picture of a pile of bundles and a roof but I'm not sure how to connect the two. I tried multiplying the number of bundles by the square feet of the roof but I got 18,000, and I know it won't take 18,000 bundles to cover the roof. How do you put the area covered by a bundle together with the roof area to get the number of bundles required? A poor response would be something like 'I don't know how to do #17'. This response reveals nothing of your attempt to understand the question and the situation. Nor does it ask a specific question. Incidentally, you might be tempted to quote rules or formulas about rates and velocities in answering these questions. Don't. This exercise isn't about being able to memorize rules and quote them. It is about expanding your ability to visualize, reason and communicate.
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RESPONSE --> I understand.
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11:32:57 In your own words briefly summarize the instructions and the intent of this exercise.
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RESPONSE --> The intent of this exercise is to get the mind used to visualizing situations. The instructions are to draw a picture and describe what you drew, then solve the problem.
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11:38:59 `q001. If you earn 50 dollars in 5 hours, at what average rate are you earning money, in dollars per hour?
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RESPONSE --> You would take the total amt. of money (50.00) and divide the amt. by the number of hours worked (5). 50 / 5 = $10 per hour. I drew a tree diagram with 50 one dollar bills and 5 hours at the bottom. In drawing lines to match up the dollars with the hours equally they were distributed 10 dollars for every hour.
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11:41:21 If you travel 300 miles in 6 hours, at what average rate are you traveling, in miles per hour?
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RESPONSE --> You would divide 300 miles by 6 hours to get the miles per hour. 300/6 = 50 mph. I drew a number line in increments of 50 to show the total 300 miles. I put a mark at every 50 mark, and there were 6 increments to get to 300 miles.
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13:42:05 `q002. If a ball rolling down a grooved track travels 40 centimeters in 5 seconds, at what average rate is the ball moving, in centimeters per second?
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RESPONSE --> You would divide 40 cm by 5 secs. The avg. rate would be 8cm per sec. I drew a track with a ball rolling down that was divided into 40 cm. then I drew lines for the 5 and it ended up being equally divided by 8.
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13:47:58 The preceding three questions illustrate the concept of a rate. In each case, to find the rate we divided the change in some quantity (the number of dollars or the distance, in these examples) by the time required for the change (the number of hours or seconds, in these examples). Explain in your own words what is meant by the idea of a rate.
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RESPONSE --> The rate is something over one. For instance how many miles per hour or in one hour? It shows a ratio to the number 1.
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13:50:45 `q003. If you are earning money at the average rate of 15 dollars per hour, how much do you earn in 6 hours?
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RESPONSE --> I drew six rectangles to stand for the six hours. Than I drew 15 tally marks in each rectangle. Which came to 90 total hours. Mathematically speaking you would multiply 15 * 6 + 90 hours.
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13:52:13 If you are traveling at an average rate of 60 miles per hour, how far do you travel in 9 hours?
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RESPONSE --> Mathematically you would mulitpy 60 * 9 = 540. I think it would be ridiculous to try to draw a picture for this because of the large numbers.
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13:53:20 `q004. If a ball travels at and average rate of 13 centimeters per second, how far does it travel in 3 seconds?
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RESPONSE --> I drew 3 boxes and out 13 marks in each box for a total of 39 cm. Math - 13 * 3 = 39
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13:53:49 In the preceding three exercises you turned the concept of a rate around. You were given the rate and the change in the clock time, and you calculated the change in the quantity. Explain in your own words how this increases your understanding of the concept of a rate.
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RESPONSE --> A rate
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13:54:43 `q005. How long does it take to earn 100 dollars at an average rate of 4 dollars per hour?
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RESPONSE --> 100dollars/4dollars per hour = 25 hours the $ cancel each ohter out.
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13:55:32 How long does it take to travel 500 miles at an average rate of 25 miles per hour?
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RESPONSE --> 500 / 25 = 20 hours The miles cancel.
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13:56:43 `q006. How long does it take a rolling ball to travel 80 centimeters at an average rate of 16 centimeters per second?
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RESPONSE --> 80/16 5 secs.
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