A car travels along a straight line with a velocity given by v = (12 + 12t - 6t^2) m/s. When t = 2s, the car is located 50 m to the right of the origin. Determine:
a) the velocity and acceleration when t = 6s
b) the displacement from t = 0 to t = 10s, and
c) the total distance the car travels during this time period.