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Unformatted text preview: Perez (nap563) HW04 Zheng (56555) 1 This printout should have 22 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 4) 10.0 points A Calculus student begins walking in a straight line from the RLM building towards the PCL Library. After t minutes his velocity v = v ( t ) is given (in multiples of 10 yards per minute) by the function whose graph is 2 4 6 8 10 2 2 4 6 2 t v How far is the student from the RLM build ing at time t = 3? 1. dist = 5 yards 2. dist = 35 yards 3. dist = 25 yards 4. dist = 15 yards correct 5. dist = 55 yards Explanation: The student is walking towards the PCL Library whenever v ( t ) &gt; 0 and towards RLM whenever v ( t ) &lt; 0. The distance he has walked is given by 10 times the area between the graph of v and the t axis since 1 unit is equivalent to 10 yards. Now at t = 3 this area is 1 . 5 units, so the student has walked a distance of 15 yards. 002 (part 2 of 4) 10.0 points How far is the student from the RLM build ing at time t = 8? 1. dist = 130 yards 2. dist = 160 yards 3. dist = 180 yards 4. dist = 150 yards 5. dist = 140 yards correct Explanation: The distance the student has walked is given by the area between the graph of v and the t axis. Now at t = 8 this area is 14 units, so the student has walked a distance of 140 yards. 003 (part 3 of 4) 10.0 points What is the total distance walked by the student from time t = 0 to t = 10? 1. dist = 180 yards correct 2. dist = 160 yards 3. dist = 170 yards 4. dist = 210 yards 5. dist = 190 yards Explanation: The distance the student has walked is given by the area between the graph of v and the t axis. Now at t = 10 this area is 18 units (area is always positive remember), so the student has walked a distance of 180 yards. 004 (part 4 of 4) 10.0 points How far is the student from the RLM build ing when he turns back? 1. dist = 160 yards 2. dist = 190 yards Perez (nap563) HW04 Zheng (56555) 2 3. dist = 210 yards 4. dist = 140 yards 5. dist = 170 yards correct Explanation: The student will turn back when his veloc ity changes from postive to negative, i.e. , at t = 9. At this time he is 170 yards from the RLM building. keywords: distance, time, graph, velocity, area 005 10.0 points A Calculus student begins walking in a straight line from the RLM building towards the PCL Library. After t minutes his velocity v = v ( t ) is given (in multiples of 10 yards per minute) by the function whose graph is 2 4 6 8 10 2 2 4 6 2 t v What is the total distance walked by the stu dent from time t = 0 to t = 10? 1. dist = 190 yards 2. dist = 230 yards 3. dist = 210 yards 4. dist = 200 yards 5. dist = 220 yards correct Explanation: The distance the student has walked is given by the area between the graph of v and the t axis. Now at t = 10 this area is 22 units (area is always positive remember), so the student has walked a distance of 220 yards ....
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 Spring '10
 ZHENG
 Math, Calculus, Derivative, Fundamental Theorem Of Calculus, dx

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