The acceleration of a vehicle takes the form du = 3.6 – 0.06u dt 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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Chapter3: Motion Along A Straight Line
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Answer the following question.

1. The acceleration of a vehicle takes the form
du
= 3.6 – 0.06u
dt
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 /Isec.
(c) Determine the acceleration of the vehicle after 3 sec.
Transcribed Image Text:1. The acceleration of a vehicle takes the form du = 3.6 – 0.06u dt 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 /Isec. (c) Determine the acceleration of the vehicle after 3 sec.
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