Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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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
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?
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
Chapter 3 Solutions
Traffic and Highway Engineering
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- Two automobiles A and B are approaching each other in adjacent highway lanes. At t = 0, A and B are 3200 ft apart, their speeds are VA = 65 mi/h and vâ = 40 mi/h, and they are at points P and Q, respectively. Knowing that A passes point Q 40 s after B was there and that B passes point P 42 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. VA = 65 mi/h UB = 40 mi/h B P 3200 ftarrow_forwardA car is traveling around a circular track of 820-ft radius. If the magnitude of its total acceleration is 6.7 ft/sec? at the instant when its speed is 37 mi/hr, determine the rate a, at which the car is changing its speed.arrow_forwardIn traveling a distance of 2.0 km between points A and D, a car is driven at 106 km/h from A to B for t seconds and 47 km/h from C to D also for t seconds. If the brakes are applied for 3.7 seconds between B and C to give the car a uniform deceleration, calculate t and the distance s between A and B.arrow_forward
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