Problem No. 3 To measure the spot speed on a certain section of the national highway connecting lligan and Cagayan de Oro City, a trap length of 40 meters was set. The times in seconds clocked by the observer for 24 vehicles were: 3.5 2.6 3.2 4.0 3.8 2.4 2.5 3.0 3.1 2.7 3.4 2.2 2.8 3.5 2.5 3.6 3.4 3.7 2.9 2.8 2.4 3.9 3.1 3.2 Required: Determine the spot speed or time mean speed. > If the maximum speed limit of the location was set at 60 kph, determine the percentage of drivers violating the regulation. m23 O24 248

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Chapter2: Second-order Linear Odes
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Problem No. 3
To measure the spot speed on a certain section of the national highway
connecting lligan and Cagayan de Oro City, a trap length of 40 meters was set.
The times in seconds clocked by the observer for 24 vehicles were:
3.5
2.6
4.0
3.8
3.2
3.4
2.8
2.4
3.5
3.1
2.5
2.5
3.2
3.0
3.6
3.1
2.7
2.9
2.2
2.4
2.8
3.7
3.9
3.4
Required:
> Determine the spot speed or time mean speed.
> If the maximum speed limit of the location was set at 60 kph, determine the
percentage of drivers violating the regulation.
Problem No. 4
A 1.5 km survey using the Moving Observer Method was conducted in a
section of a certain highway. Five observations were made at different times and
the results of the survey are as follows:
No. of
No. of
No. of
vehicles
overtaking
the test car the test car travelling
when
travelling
Travel time Travel time
of the test
car when
travelling
against the
traffic
vehicles
vehiçles
passed by
of the test
car when
met when
Survey # test car
travelling
against the travelling
traffic
with the
traffic
when
with traffic with the
the stream
stream
stream
stream
traffic
(min)
(min)
stream
1
29
378
228
4.9
6.0
18
14
3.0
2.5
3
67
27
30
2.5
2.0
485
201
70
30
57
8.5
2.5
4
9.2
21
3.4
Required:
> Determine the u- k, q- k, q- u relationship and plot their corresponding
graphs.
> Estimate the capacity of the highway section for this direction of flow.
> If the demand volume is 2,000 vph at a certain period, determine the level of
service for this highway on this direction.
Transcribed Image Text:ull TM ? 1:17 PM © 32% Cancel 2 of 3 Problem No. 3 To measure the spot speed on a certain section of the national highway connecting lligan and Cagayan de Oro City, a trap length of 40 meters was set. The times in seconds clocked by the observer for 24 vehicles were: 3.5 2.6 4.0 3.8 3.2 3.4 2.8 2.4 3.5 3.1 2.5 2.5 3.2 3.0 3.6 3.1 2.7 2.9 2.2 2.4 2.8 3.7 3.9 3.4 Required: > Determine the spot speed or time mean speed. > If the maximum speed limit of the location was set at 60 kph, determine the percentage of drivers violating the regulation. Problem No. 4 A 1.5 km survey using the Moving Observer Method was conducted in a section of a certain highway. Five observations were made at different times and the results of the survey are as follows: No. of No. of No. of vehicles overtaking the test car the test car travelling when travelling Travel time Travel time of the test car when travelling against the traffic vehicles vehiçles passed by of the test car when met when Survey # test car travelling against the travelling traffic with the traffic when with traffic with the the stream stream stream stream traffic (min) (min) stream 1 29 378 228 4.9 6.0 18 14 3.0 2.5 3 67 27 30 2.5 2.0 485 201 70 30 57 8.5 2.5 4 9.2 21 3.4 Required: > Determine the u- k, q- k, q- u relationship and plot their corresponding graphs. > Estimate the capacity of the highway section for this direction of flow. > If the demand volume is 2,000 vph at a certain period, determine the level of service for this highway on this direction.
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