An airport shuttle train travels between two terminals that are 1.6 mi apart. To maintain passenger comfort, the acceleration of the train is limited to ±4 ft / s^2, and the jerk, or acte of change of acceleration, is limited to ±0.8 fl / s^2 per second. If the shuttle has a maximum speed of 20 mi / h, determine (a) the shortest time for the shuttle to travel between the two terminals, (b) the corresponding average velocity of the shuttle. | Numerade