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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- 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.arrow_forwardA car is travelling along a straight horizontal road with a constant acceleration of 0.75 m/3. The car is travelling at 8 m/s when it passes a pillar box. 12 seconds later it passes a lamp post. Find a the distance between the pillar box and the lamp post, b the speed with which the car passes the lamp post.arrow_forward2/98 A car is traveling around a circular track of 800-ft radius. If the magnitude of its total acceleration is 10 ft/sec² at the instant when its speed is 45 mi/hr, determine the rate at which the car is changing its speed.arrow_forward
- The acceleration of a vehicle takes the form: du/dt = 1.1 0.03u where u is the vehicle speed in m/s. The vehicle is traveling at 14m/s at time To Determine the following: 2.1. Time at which the vehicle attains a speed of 26 m/s 2.2. Acceleration of the vehicle after 3 seconds 2.3. Distance travelled by the vehicle when accelerated to a speed of 26 m/sarrow_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_forwardTwo 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_forward
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