Car initiates its motion from a stationary position and undergoes a constant acceleration of 3 m/s^2 in a linear direction until it attains a velocity of 30 m/s. It maintains this constant speed for a duration of 20 seconds. It then decelerates uniformly at 2 m/s^2. Determine the following:
a) The total time taken for the car’s entire journey, from the initiation of motion to the time it comes to a stop.
b) The cumulative distance traveled by the car during its entire journey.