The driver of the vehicle on a level road determined that she could increase her speed from rest to 51 kph in 36.80 seconds and from rest to 66 kph in 96.80 seconds. If it can be assumed that the acceleration of the vehicle takes the form: du/dt = a - But where u is the vehicle speed in m/sec. Determine the maximum acceleration of the vehicle

The driver of the vehicle on a level road determined that she could increase her speed from rest to 51 kph in 36.80 seconds and from rest to 66 kph in 96.80 seconds. If it can be assumed that the acceleration of the vehicle takes the form: du/dt = a - But where u is the vehicle speed in m/sec. Determine the maximum acceleration of the vehicle

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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The driver of the vehicle on a level road determined that she could increase her speed from rest to 51 kph in 36.80 seconds and from rest to 66 kph in 96.80 seconds. If it can be assumed that the acceleration of the vehicle takes the form du/dt =  - βut where u is the vehicle speed in m/sec. Determine the maximum acceleration of the vehicle.
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