1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bogdanovich [222]
3 years ago
11

Q2) The following travel times were measured for vehicles traversing a 2,000 ft. segment of an arterial: Vehicle Travel Time (s)

1 40.5 2 44.2 3 41.7 4 47.3 5 46.5 6 41.9 7 43.0 8 47.0 9 42.6 10 43.3 Determine the time mean sped (TMS) and space mean speed (SMS) for these vehicles.
Mathematics
1 answer:
adelina 88 [10]3 years ago
4 0

Answer:

TMS = 45.78 m/s

SMS = 45.66 m/s

Step-by-step explanation:

Vehicle Travel Time (s)

1 40.5

2 44.2

3 41.7

4 47.3

5 46.5

6 41.9

7 43.0

8 47.0

9 42.6

10 43.3

Time mean speed and space mean speed are parameters used to express the speed of a group of vehicles in traffic flow.

Time mean speed is given as the average speed of all the cars

The speed for each vehicle is calculated by dividing the (2000 ft) distance by the time taken by each vehicle to complete that segment of the journey.

Let vehicle = V

Travel time = time

Speed = s

V | Time | speed (ft/s)

1 | 40.5 | 49.383

2 | 44.2 | 45.249

3 | 41.7 | 47.962

4 | 47.3 | 42.283

5 | 46.5 | 43.011

6 | 41.9 | 47.733

7 | 43.0 | 46.512

8 | 47.0 | 42.553

9 | 42.6 | 46.948

10| 43.3 | 46.189

TMS = (Σsᵢ)/N

Σsᵢ = (49.383+45.249+47.962+42.283+43.011+47.733+46.512+42.553+46.948+46.189)

Σsᵢ = 457.823

N = number of vehicles = 10

TMS = 457.823 ÷ 10 = 45.7823 = 45.782 m/s

b) Space mean speed is given as

SMS = N ÷ [Σ (1/sᵢ)]

V | Time | speed | (1/sᵢ)

1 | 40.5 | 49.383 | 0.02025

2 | 44.2 | 45.249 | 0.02210

3 | 41.7 | 47.962 | 0.02085

4 | 47.3 | 42.283 | 0.02365

5 | 46.5 | 43.011 | 0.02325

6 | 41.9 | 47.733 | 0.02095

7 | 43.0 | 46.512 | 0.02150

8 | 47.0 | 42.553 | 0.02350

9 | 42.6 | 46.948 | 0.02130

10| 43.3 | 46.189 | 0.02165

Σ (1/sᵢ) = (0.02025+0.02210+0.02085+0.02365+0.02325+0.02095+0.02150+0.02350+0.02130+0.02165)

Σ (1/sᵢ) = 0.219

SMS = 10 ÷ [Σ (1/sᵢ)] = 10 ÷ 0.219

SMS = 45.662 m/s

Hope this Helps!!!

You might be interested in
What job will make 232,685 after 5 years
Komok [63]

Do you have a multiple choice selection of answers, because there is no way to pick a job out of the blue without certain choices and a math problem set up.

7 0
2 years ago
PLEASE HELP ME!!!!!!
Harrizon [31]
65-26
A = 200(1+(0.0275/12)^0.0275(12 x 41 ) graph this in y =
7 0
3 years ago
The beginning balance of a credit card account is $500. The monthly interest rate is 0.012. If a payment of $100 is made on the
OLga [1]
I think its 1.012(500 - 100) = 400* 1.012 = 404.80 dollars
6 0
3 years ago
Read 2 more answers
The option you chose for railings comes in packages that cover 5 feet and cost $29.97 each. What is the total cost of the basebo
Leona [35]

Answer:

149.85

Step-by-step explanation: brainliest pls

6 0
3 years ago
Write log2 0.25 = -2 in exponential form​
oee [108]

Answer:

0.25 = 2^-2

The "^" means that -2 is an exponent on top of 2.

6 0
3 years ago
Other questions:
  • What is 20 feet to 8 yards in simplest form
    11·1 answer
  • A drawer is filled with 7 black shirts,5 white shirts,10 gray shirts. one shirt is chosen at random from the drawer. find the pr
    8·1 answer
  • Write the number 3/100 as a decimal.
    7·1 answer
  • How many times larger is the number 10 billion to the number 10 million?
    11·2 answers
  • Dave is currently scuba diving at an elevation of -24 meters. What integer is used to represent the elevation?
    14·1 answer
  • The area of a rectangle is 40 cm2. What are the possible whole number dimensions of the rectangle in centimeters?
    5·2 answers
  • I will mark you brainliest for the right answer! Thank you!
    8·1 answer
  • Indicate whether the measures 11, 12, and 20 can be the side lengths of a triangle. If they can, classify the triangle.
    15·1 answer
  • Jackson is making brownies. He uses the following ingredients.
    5·1 answer
  • What's 2+2?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!