The gap between two consecutive automobiles (distance between the back of a vehicle and the front of the following vehicle) is 65 ft. 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 accel- erating at the same time, determine the gap between the two vehicles after 15 sec if the acceleration of the vehicles can be assumed to take the following forms: (leading vehicle) (following vehicle) du dt du dt where u, is the vehicle speed in ft/sec. = = 3.4 -0.07₁ 3.3 -0.065u,
The gap between two consecutive automobiles (distance between the back of a vehicle and the front of the following vehicle) is 65 ft. 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 accel- erating at the same time, determine the gap between the two vehicles after 15 sec if the acceleration of the vehicles can be assumed to take the following forms: (leading vehicle) (following vehicle) du dt du dt where u, is the vehicle speed in ft/sec. = = 3.4 -0.07₁ 3.3 -0.065u,
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Transcribed Image Text:The gap between two consecutive automobiles (distance between the back of a vehicle
and the front of the following vehicle) is 65 ft. 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 accel-
erating at the same time, determine the gap between the two vehicles after 15 sec if
the acceleration of the vehicles can be assumed to take the following forms:
3.4 -0.07ut
(leading vehicle)
(following vehicle)
where
du
dt
du
dt
=
3.3 -0.065u,
U ₁
is the vehicle speed in ft/sec.
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