The acceleration of a vehicle takes the form  du/dt = 1.2 -0.06u where u is the vehicle speed in m/sec. The vehicle is traveling at 14m/sec at time  T0 Determine the following: 1. Time at which the vehicle attains a speed of 20m/sec. 2. Acceleration of the vehicle after 5 seconds 3. Distance traveled by the vehicle when accelerated to a speed of 20 m/sec.

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Chapter2: Kinematics
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The acceleration of a vehicle takes the form 
du/dt = 1.2 -0.06u
where u is the vehicle speed in m/sec. The vehicle is traveling at 14m/sec at time 
T0
Determine the following:
1. Time at which the vehicle attains a speed of 20m/sec.
2. Acceleration of the vehicle after 5 seconds
3. Distance traveled by the vehicle when accelerated to a speed of 20 m/sec. 

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