Math HW4 - Perez (nap563) HW04 Zheng (56555) 1 This...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Perez (nap563) HW04 Zheng (56555) 1 This print-out should have 22 questions. Multiple-choice 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 ) > 0 and towards RLM whenever v ( t ) < 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 ....
View Full Document

Page1 / 10

Math HW4 - Perez (nap563) HW04 Zheng (56555) 1 This...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online