HW04 solution - mao (tm23477) HW04 Radin (56570) 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: mao (tm23477) HW04 Radin (56570) 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 = 4? 1. dist = 80 yards 2. dist = 70 yards 3. dist = 50 yards 4. dist = 100 yards 5. dist = 60 yards correct 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 = 4 this area is 6 units, so the student has walked a distance of 60 yards. 002 (part 2 of 4) 10.0 points How far is the student from the RLM build- ing at time t = 6? 1. dist = 130 yards 2. dist = 160 yards 3. dist = 140 yards 4. dist = 120 yards correct 5. dist = 110 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 = 6 this area is 12 units, so the student has walked a distance of 120 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 = 230 yards 2. dist = 210 yards 3. dist = 190 yards 4. dist = 200 yards correct 5. dist = 180 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 20 units (area is always positive remember), so the student has walked a distance of 200 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 = 200 yards 2. dist = 220 yards mao (tm23477) HW04 Radin (56570) 2 3. dist = 170 yards 4. dist = 150 yards 5. dist = 180 yards correct Explanation: The student will turn back when his veloc- ity changes from postive to negative, i.e. , at t = 8. At this time he is 180 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 = 150 yards correct 2. dist = 160 yards 3. dist = 170 yards 4. dist = 180 yards 5. dist = 140 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 15 units (area is always positive remember), so the student has walked a distance of 150 yards ....
View Full Document

This note was uploaded on 05/12/2010 for the course M 408L taught by Professor Radin during the Spring '08 term at University of Texas at Austin.

Page1 / 10

HW04 solution - mao (tm23477) HW04 Radin (56570) 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