4. The driver of a vehicle on a level road determined that she could increase her speed from rest to 50 mph in 34.8 sec and from rest to 65 mi/h in 94.8 sec. If it can be du dt = α - Bu, assumed that the acceleration of the vehicle takes the form speed is in ft/sec). Determine the maximum acceleration of the vehicle. If the vehicle is traveling at a speed of 40 mph, how long will it take after the driver starts accelerating for the vehicle to achieve a speed of 45 mph? (where,

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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4. The driver of a vehicle on a level road determined that she could increase her speed
from rest to 50 mph in 34.8 sec and from rest to 65 mi/h in 94.8 sec. If it can be
du
dt
= α -
Bu,
assumed that the acceleration of the vehicle takes the form
speed is in ft/sec). Determine the maximum acceleration of the vehicle.
If the vehicle is traveling at a speed of 40 mph, how long will it take after the driver
starts accelerating for the vehicle to achieve a speed of 45 mph?
(where,
Transcribed Image Text:4. The driver of a vehicle on a level road determined that she could increase her speed from rest to 50 mph in 34.8 sec and from rest to 65 mi/h in 94.8 sec. If it can be du dt = α - Bu, assumed that the acceleration of the vehicle takes the form speed is in ft/sec). Determine the maximum acceleration of the vehicle. If the vehicle is traveling at a speed of 40 mph, how long will it take after the driver starts accelerating for the vehicle to achieve a speed of 45 mph? (where,
Expert Solution
Step 1

Given:

Speed:

50 mph in 34.8 sec

65 mph in 94.8 sec

The acceleration of vehicles:

dudt=α-βut

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β = 0.2 and α = 6.3 

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