5. Consider the time-space diagram below. a. If you are observing from a point at distance-1000 ft, what is the average headway between each vehicle? Distance (ft) b. What is the average density between 0 and 1000 ft at a time of 10 s? c. What is the speed of vehicle 1 (the top vehicle)? d. What is likely happening at a distance of 1500 ft? 3500 3000 2500 2000 1500 1000 500 0 10 Time-Space Diagram for Hobart St 30 Time (s) -Veh 1-Veh 2 -Veh 3-Veh 4 20 40 50

5. Consider the time-space diagram below. a. If you are observing from a point at distance-1000 ft, what is the average headway between each vehicle? Distance (ft) b. What is the average density between 0 and 1000 ft at a time of 10 s? c. What is the speed of vehicle 1 (the top vehicle)? d. What is likely happening at a distance of 1500 ft? 3500 3000 2500 2000 1500 1000 500 0 10 Time-Space Diagram for Hobart St 30 Time (s) -Veh 1-Veh 2 -Veh 3-Veh 4 20 40 50

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Problem: Car B is traveling a distance d ahead of car A. Both cars are traveling at 60 ft/s when the driver of B suddenly applies the brakes, causing his car to decelerate at 12 ft/s^2. It takes the driver of car A 0.75 s to react (this is the normal reaction time for drivers). When he applies his brakes, he decelerates at 20 ft/s^2. (Figure 1_ Question: Determine the minimum distance d between the cars so as to avoid a collision. Express your answer to three significant figures and include the appropriate units.
1. Assume you are observing traffic in a single lane of a highway at a specific location. You measure the average headway and average spacing of passing vehicles as 3 seconds and 150ft, respectively. What is the average speed of the traffic stream? Note: you can use two methods to conduct the calculation. 2. Assume the speed and density at a freeway location follows a linear relationship. You observe traffic flow rate of 2250 vehicles/hour at 45 mph and 3000 vehicles/hour at 30 mph. What are the jam density, free flow speed (max speed), and capacity of this freeway location? How about the density and speed (i.e., the critical density and the critical speed) at the capacity?
5. What is the meaning of a negative velocity v? Can an aircraft have a negative velocity vof say, -400 km/h? 6. You are driving an automobile along a straight road, and the speedometer registers 60 km.h (17m/s). Is the velocity positive or negative? What information do you need to answer this question?
Problem#4: Calculate an object’s acceleration when ? = 100 ? and when ? = 175 ?. Refer to the v-s graph below. Problem#5: As a vehicle leaves the first point, it gains a speed at the rate of 4 ??/? 2 for 6 ? and then at the rate of 6 ??/? 2 until it has reached the speed of 48 ??/?. The vehicle maintains the same speed until it approaches the second point; brakes are then applied and the vehicle slows down constantly until it stops in 6 ?. The total running time from first point to second point is 40 ?. Plot the a−t, v−t, and x−t graphs, and calculate the distance between the first and second point.
A vehicle moving at a speed of 50 mph is slowing traffic on a two-lane highway. What passing sightdistance is necessary, in order for a passing maneuver to be carried out safely? Calculate the passingsight distance. In your calculations, assume that the following variables have the values given: Passing vehicle driver's perception/reaction time = 2.5 sec Passing vehicle's acceleration rate = 1.47 mph/sec Initial speed of passing vehicle = 50 mph Passing speed of passing vehicle = 60 mph Speed of slow vehicle = 50 mph Speed of opposing vehicle = 60 mph Length of passing vehicle = 22 ft Length of slow vehicle = 22 ft Clearance distance between passing and slow vehicles at lane change = 20 ft Clearance distance between passing and slow vehicles at lane re-entry = 20 ft Clearance distance between passing and opposing vehicles at lane re-entry = 250 ft
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A particle moves along a horizontal path with a velocity of v=(3t2 - 6t) m/s, where t is the time in seconds. If it is initially located at the origin O, determine the distance traveled in 3.5 s, and the particle's average velocity and average speed during the time interval.
The “reaction time” of the average automobile driver is about 0.7 s. (The reaction time, in this context, is the interval between the perception of a signal to stop and the application of the brakes.) If an automobile can slow down with an acceleration of 8 m/s2, compute the total distance covered in coming to a stop after a signal is observed from an initial velocity of 40 kph. Express your answers in meters.
Assume you are observing traffic in a single lane of a highway at a specific location. You measure the average headway and average spacing of passing vehicles as 3.2 seconds and 20 m, respectively. Calculate the flow, average speed, and density of the traffic stream in this lane. can you explain how to solve thank you