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MindTap Engineering for Garber/Hoel's Traffic and Highway Engineering, 5th Edition, [Instant Access], 1 term (6 months)
5th Edition
ISBN: 9781305577398
Author: Nicholas J. Garber; Lester A. Hoel
Publisher: Cengage Learning US
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Question
Chapter 3, Problem 10P
To determine
The gap between the two vehicles after a given duration.
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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 . 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 as follows, where u, in the equation is vehicle speed in ft /sec.
du
3.4-0.07u, (leading vehicle)
dt
du
3.3-0.065
dt
=
(following vehicle) ₂ 2
Two automobiles A and B shown below are approaching each other in adjacent
highway lanes. At t = 0, A and B are 1km apart, their speeds are vA = 25 km/h and
vB = 20 km/h, and they are at points P and Q, respectively. Knowing that A passes
point Q 42 s after B was there and that B passes point P 40 s after A was there,
determine (a) the uniform accelerations of A and B, (b) when the vehicles pass
each other, (c) the speed of B at that time.
DA = 25 km/h
Ug = 20 km/h
B
1 km
An impatient car driver stuck behind a slow-moving truck traveling at 25 mi/h decides to overtake the truck. The accelerating characteristic of the car is given by: dv/dt=3-0.05v where v is the speed (ft/sec) and t is the time (0sec).What is the acceleration in meter per second after 25 seconds?
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MindTap Engineering for Garber/Hoel's Traffic and Highway Engineering, 5th Edition, [Instant Access], 1 term (6 months)
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