The acceleration of a vehicle takes the form

du/dt= 3.8 -0.04u

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 5 sec.