The gap between two consecutive automobiles (distance between the back of a vehicle and the front of the following vehicle) is 65 ft. At a certain time, the front vehicle is traveling at 45 mi/h, and the following vehicle at 35 mi/h. If both vehicles start accelerating at the same time, determine the gap between the two vehicles after 15 sec if the acceleration of the vehicles can be assumed to take the following forms: du/dt = 3.4 - 0.07u, (leading vehicle) du/dt = 3.3 - 0.065u, (following vehicle) where ut is the vehicle speed in ft /sec.

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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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The gap between two consecutive automobiles (distance between the back of a vehicle and the front of the following vehicle) is 65 ft. At a certain time, the front vehicle is traveling at 45 mi/h, and the following vehicle at 35 mi/h. If both vehicles start accelerating at the same time, determine the gap between the two vehicles after 15 sec if the acceleration of the vehicles can be assumed to take the following forms:

du/dt = 3.4 - 0.07u, (leading vehicle)

du/dt = 3.3 - 0.065u, (following vehicle)

where ut is the vehicle speed in ft /sec.

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