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 · βu, = α - 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 – βu,
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 – βu, 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: Data given
  • Speed increased from rest to 50 mph in 34.8 sec
  • Speed increased from rest to 65 mph in 94.8 sec
  • Acceleration of vehicle = du over dt space equals space straight alpha space minus straight beta straight u subscript straight t

Find:

(a) The maximum acceleration of the vehicle.

(b) 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 



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