4. The driver of a vehicle on a level road determined that she could increase her speed from rest to 50 mph in 34.8 sec and from rest to 65 mi/h in 94.8 sec. If it can be du dt = α - Bu, assumed that the acceleration of the vehicle takes the form speed is in ft/sec). Determine the maximum acceleration of the vehicle. If the vehicle is traveling at a speed of 40 mph, how long will it take after the driver starts accelerating for the vehicle to achieve a speed of 45 mph? (where,

4. The driver of a vehicle on a level road determined that she could increase her speed from rest to 50 mph in 34.8 sec and from rest to 65 mi/h in 94.8 sec. If it can be du dt = α - Bu, assumed that the acceleration of the vehicle takes the form speed is in ft/sec). Determine the maximum acceleration of the vehicle. If the vehicle is traveling at a speed of 40 mph, how long will it take after the driver starts accelerating for the vehicle to achieve a speed of 45 mph? (where,

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter3: Characteristics Of The Driver, The Pedestrian, The Bicyclist, The Vehicle, and The Road

Section: Chapter Questions

Problem 11P

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Concept explainers

Intersection Design

An intersection is a location where two or more roads or railways meet or join. The traffic movement is controlled at the intersection that depends on its design and type. It governs the operation, efficiency, speed, capacity, and safety of the highways, airways, and railways. The movement of the pedestrian causes hazards and delays at the intersection.

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Solve for all in neat hand writing and step by step solutions please

4. The driver of a vehicle on a level road determined that she could increase her speed
from rest to 50 mph in 34.8 sec and from rest to 65 mi/h in 94.8 sec. If it can be
du
dt
= α -
Bu,
assumed that the acceleration of the vehicle takes the form
speed is in ft/sec). Determine the maximum acceleration of the vehicle.
If the vehicle is traveling at a speed of 40 mph, how long will it take after the driver
starts accelerating for the vehicle to achieve a speed of 45 mph?
(where,

Expert Solution

Step 1

Given:

Speed:

50 mph in 34.8 sec

65 mph in 94.8 sec

The acceleration of vehicles:

$\frac{d u}{d t} = α - β u_{t}$

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Follow-up Question

β = 0.2 and α = 6.3

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