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University of New South Wales *
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3401
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Mathematics
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Apr 3, 2024
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Eebiie iily T lime taken ZY mins 51 secs Marks 10.50/20.00 Grade 5.25 out of 10.00 (52.5%) Question 1 Correct Mark 1.00 out of 1.00 v Flag question Question 2 Correct Mark 1.00 out of 1.00 v Flag question T Arrange the following in descending order: O < v O < v Your answer is correct. The correct answer is: Arrange the following in descending order: [Posted Speed Limit] > [Time Mean Speed] > [Space Mean Speed] Match the following terms in transport systems and planning to the most appropriate: Supply O < Demand O < Your answer is correct. The correct answer is: Supply - Roadways and public transport, Demand - Trips generated “ Show one page at a time
L0 Cem G GR W GRZy B0 GELD WD) | [CHS N BRI @ Mon e Oct 1047 PM_ The correct answer is: Supply - Roadways and public transport, Demand - Trips generated Question 3 Match each of these transit-related topics to its city. Correct Mark 1.00 out of 1.00 Octopus card $ v Flag question TETbe . Oshiya . Glenelg tram P Hook turns ¢ Hector Guimard entrances O S8 5 88 88§ R The Loop “ Freshwater, Queenscliff, Narrabeen and Collaroy O An uptown express train “ Rede Integrada de Transporte BRT O Your answer is correct. The correct answer is: Octopus card -> Hong Kong, The Tube - London, Oshiya - Tokyo, Glenelg tram - Adelaide, Hook turns - Melbourne, Hector Guimard entrances - Paris, The Loop - Chicago, Freshwater, Queenscliff, Narrabeen and Collaroy - Sydney, An uptown express train - New York, Rede Integrada de Transporte BRT - Curitiba Question 4 T
L0 Cem G GR W GRZy B0 GELD WD) | [CHS N BRI @ Mon e Oct 1047 PM_ Question 4 What are the 4-steps (and the correct order) of the transport planning process? Correct Mark 1.00 out of 1.00 Select one or more: ¥ Flag question a. 1) Trip Aggregation 2) Trip Divergence 3) Mode Choice 4) Trip Assignment b. 1) Trip Generation 2) Trip Distribution 3) Mode Choice 4) Trip Assignment v c. 1) Trip Generation 2) Trip Distribution 3) Trip Assignment 4) Mode Choice d. 1) Trip Aggregation 2) Trip Distribution 3) Mode Choice 4) Trip Assignment Your answer is correct. The correct answer is: 1) Trip Generation 2) Trip Distribution 3) Mode Choice 4) Trip Assignment Question 5 Which of the following scenario does not require microscopic modeling? Incorrect Mark 0.00 out of 1.00 v Flag question Select one or more: a. Vehicle merging at a freeway on-ramp % b. Traffic operations at a roundabout % c. Regional traffic pattern due to an infrastructure investment d. Traffic control at a signalized intersection Your answer is incorrect. The correct answer is: Regional traffic pattern due to an infrastructure investment T
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_O Clon G GB W Iy CHmd GEed ul [CHS N BRI @ Mon e Oct 1047 PM_ ] moodIe.telt.unsw.edu.au/modlquiz[review.php?attembt‘:i'14024259&cmid=578216 UNSW 7 Question 6 Under what circumstances is time and space mean speed equal? Select all that apply. Partially correct Mark 0.50 out of 1.00 Select one or more: ¥ Flag question a. If the standard deviation of instantaneous vehicles is a positive value b. When driving in early morning hours (midnight and 4AM) c. When there is no stationary or slow vehicle travelling d. If all cars travel at the posted speed limit v Your answer is partially correct. The correct answers are: When driving in early morning hours (midnight and 4AM), If all cars travel at the posted speed limit Question 7 The Greenshields model assumes a linear relationship between the space mean speed and density. What is Correct the shape of the relationship between flow and density? Mark 1.00 out of 1.00 ¥ Flag question Select one or more: a. Parabolic v b. Exponential % c. Linear d. Cubic T
L0 Cem G GR W GRZy B0 GELD WD) | [CHS N BRI @ Mon e Oct 1047 PM_ Question 8 What are the three main characteristics used to define the fundamental relationship of traffic flow? Incorrect Mark 0.00 out of 1.00 Select one: ¥ Remove flag a. Headway, Flow, Spacing b. Time Mean Speed, Flow, Density % c. Flow, Space Mean Speed, Density d. Time, Distance, Time Mean Speed e. Space Mean Speed, Headway, Spacing Your answer is incorrect. The fundamental relationship states that flow is equal to the density multiplied by the space mean speed. The correct answer is: Flow, Space Mean Speed, Density Question 9 You are a traffic engineer working for a leading consulting firm specialising in traffic and transportation Incorrect advice. The firm has been contracted by a major developer, “Xconstruct” to conduct an investigation into the Mark 0.00 out of 1.00 traffic impact of a new mixed-use development (consisting of mainly residential properties with a small v Remove flag commercial district) to be placed in Leppington, a suburb in the South West of Sydney. Construction of this particular development is anticipated to begin by the beginning of 2017 and completion targeted for 2025. What type (types) of traffic modelling would be required to achieve the objective stated by X-Construct? Objective: Assessment of future population growth, traffic generation and distribution of the proposed development as well as other developments within the South-West Sydney area affecting the proposed development. Select one: TECELLEC R I
L0 Cem G GR W GEZy B0 GELD WD) [ I B = O i @ o © 0ct 10:05 PM. e B D ru" QUIZ 1: Transport planning and Traffic Flow Theory: Attempt review Your answer is incorrect. The fundamental relationship states that flow is equal to the density multiplied by the space mean speed. The correct answer is: Flow, Space Mean Speed, Density Question 9 You are a traffic engineer working for a leading consulting firm specialising in traffic and transportation Incorrect advice. The firm has been contracted by a major developer, “Xconstruct” to conduct an investigation into the Mark 0.00 out of 1.00 traffic impact of a new mixed-use development (consisting of mainly residential properties with a small v Remove flag commercial district) to be placed in Leppington, a suburb in the South West of Sydney. Construction of this particular development is anticipated to begin by the beginning of 2017 and completion targeted for 2025. What type (types) of traffic modelling would be required to achieve the objective stated by X-Construct? Objective: Assessment of future population growth, traffic generation and distribution of the proposed development as well as other developments within the South-West Sydney area affecting the proposed development. Select one: a. Macroscopic model b. Mesoscopic model c. Microsimulation model x Your answer is incorrect. The correct answer is: Macroscopic model Question 10 The following data are recorded by a stationary observer at a pedestrian crossing on a major arterial. Correct ‘ TG Vehicle ‘ Time between Arrivals ‘ Speed (km/hr) ‘ SENE0RGPBE®
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L0 Clem G GR W GEZy B0 GELD WD) [ I B CRWD RN B B R @ L Mon e Oct 1C:43 PM._ cee TSI m————— s Question 10 The following data are recorded by a stationary observer at a pedestrian crossing on a major arterial. Correct Vehicle Time between Arrivals Speed (km/hr) Mark 5.00 out of 5.00 ) sec v Flag question 1 61.8 2 25.5 46.3 3 29.9 66.5 4 39.6 47.9 5} 353 62 a) Determine the average headway and flow. (3 points) Average headway (sec)=|26.06 Your last answer was interpreted as follows: 26.06 Flow (veh/hr)=138.14 Your last answer was interpreted as follows: 138.14 b) Compute the time-mean speed (in km per hour). (3 points) 56.9 Your last answer was interpreted as follows: 56.9 TR LI XY = &
_O Clon G GB W Iy CHmd GEed ul O8Ol @ EULREERE Sample Solution: The following data are recorded by a stationary observer at a pedestrian crossing on a major arterial. \Vehicle Vehicle Arrival Time (sec) Time between Arrivals [Speed (km/hr) (sec) 1 27.2 47 2 47.2 20 38 3 59.8 22.6 61 4 112 52.2 42 5 133 21 52 a) Determine the average headway and flow b) Compute the time mean speed c) Compute the space mean speed d) Determine the density Solution (Note: Numbers in the table were randomized) a) Determine the average headway and flow. 20+226+522+21 h= =23.16 5 sec ! ! X 3600 = 155.44 b 1=1" 2316 T hr b) Compute the time mean speed. = 47 +38+ 61+ 42+ 52 km u, = =48 5 hr c) Compute the space mean speed. _ 1 . TR I = &
_O Clon G GB W Iy CHmd GEed ul O8Ol @ EULREERE 20+226+522+21 h= =23.16 5 sec ! ! X 3600 = 155 44v9h 1=1" 2316 T hr b) Compute the time mean speed. _ 47 +38+ 61+ 42+ 52 48km Ye = 5 = c) Compute the space mean speed. = 1 ,=(i+i+i+i+i)l=46.72km/hr 47 " 38 ' 61 42 ' 52/5 d) Determine the density. q 155.44 S 55 ook /E =, = 672 - 333 veh/km A correct answer is 26.06, which can be typed in as follows: 26.06 A correct answer is 138.14, which can be typed in as follows: 138.14 A correct answer is 56.9, which can be typed in as follows: 56.9 A correct answer is 55.67, which can be typed in as follows: 55.67 A correct answer is 2.48, which can be typed in as follows: 2.48 TECECEEI T T
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_O Clon G GB W Iy CHmd GEed ul R I CRWR B = e @ fMoa e Octi1C:44 PM ] moodIe.telt.unsw.edu.au/modlquiz[review.php?attembt‘:&'14024259&cmn =5782168 UNSW Question 11 Provide all the answers in 2 decimal places Not answered On a one kilometre running track, 30 ultra-marathon runners are interval training by running one lap (i.e. one kilometre) at 9 Raredeureren km/h, briskly walking a recovery lap at 5 km/h, and then continuing to alternate between lap speeds of 9 km/h and 5 km/h for Egaciotestion a very long period of time. To help visualise the system, you can assume that the runners start along the track in such a way that each speed class (i.e. those going at 5 km/h or those going at 9 km/h) maintains nearly uniform spacing over the track. (a) Determine the total flow (runners/h) of runners past any point on the track. i (b) Determine the time-mean speed of the runners in km/h. i (c) Determine the space-mean speed of the runners in km/h. i (d) The coach is interested in observing them only during their run laps. Determine the flow (runners/h) of runners past the coach? i Example solution: On a one kilometre running track, 24 ultra-marathon runners are interval training by running one lap (i.e. one TECELLEE R I | &
L0 Clem G GR W GEZy B0 GELD WD) [ I B CRWO R B BB @ Mon & Oct 10:44 PM._ cee TSI m————— s Example solution: On a one kilometre running track, 24 ultra-marathon runners are interval training by running one lap (i.e. one kilometre) at 8 km/hr, briskly walking a recovery lap at 6 km/hr, and then continuing to alternate between lap speeds of 8 km/hr and 6 km/hr for a very long period of time. To help visualise the system, you can assume that the runners start along the track in such a way that each speed class (i.e. those going at 6 km/hr or those going at 8 km/hr) maintains nearly uniform spacing over the track. (a) Determine the total flow (runners/hr) of runners past any point on the track. Given: One km track; 2 laps/cycle (running+walking) Let R be the number of runners, Vr be the running speed and Vw be the walking speed. R=24; Vr=8km/hr; Vw=6km/hr; Running time to complete 1Tkm track = 1/Vr hr Walking time to complete Tkm tack = 1/Vw hr Total time to complete one cycle: 1/Vr+ 1/Vw hr Number of cycles in Thr = 1/ (1/Vr+ 1/Vw hr) Total Flow = 2laps * R * (1/ (1/Vr+ 1/Vw hr)) runners/hr = 164.57 = 165runners/hr (b) Determine the time-mean speed of the runners in km/hr. Flow running = Total flow/2 laps or R* (1/ (1/Vr+ 1/Vw hr)) runners/hr = 82.29 runners/hr Flow walking = Total flow/2 laps or R* (1/ (1/Vr+ 1/Vw hr)) runners/hr = 82.29 runners/hr Time mean speed of the runners= (Flow_running*Vr + Flow_walking*Vw km/hr)/Total Flow = 7km/hr (c) Determine the space-mean speed of the runners in km/hr. Space mean speed of the runners= Total Flow/ (Flow_running/Vr + Flow_walking/Vw) km/hr = 6.86km/hr (d) The coach is interested in observing them only during their run laps. Determine the flow (runners/hr) of runners past the coach? Flow running = Total flow/2 laps or R * (1/ (1/Vr+ 1/Vw hr)) runners/hr = 82.29 = 82 runners/hr TECECEEI T T