The acceleration of a vehicle takes the form du/dx = 3.6 – 0.06u, 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.

The acceleration of a vehicle takes the form du/dx = 3.6 – 0.06u, 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.