The acceleration of a vehicle takes the form dudt=3.6−0.06ududt=3.6−0.06u where u is the vehicle speed in ft /sec. The vehicle is traveling at 45 ft /sec at time To. (a) Determine the distance traveled by the vehicle when accelerated to a speed of 55 ft /sec. (b) Determine the time at which the vehicle attains a speed of 55 ft /sec. (c) Determine the acceleration of the vehicle after 3 sec.

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
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The acceleration of a vehicle takes the form dudt=3.6−0.06ududt=3.6−0.06u

where u is the vehicle speed in ft /sec. The vehicle is traveling at 45 ft /sec at time To.

(a) Determine the distance traveled by the vehicle when accelerated to a speed of 55 ft /sec.

(b) Determine the time at which the vehicle attains a speed of 55 ft /sec.

(c) Determine the acceleration of the vehicle after 3 sec.

 
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