The automobile is originally at rest s = 0. If it then starts to increase its speed at a = 0.05t² ft/s², where t is in seconds, determine the magnitudes of its velocity and acceleration at s = 550 ft.
a) v = 22 ft/s, a = 0.55 ft/s²
b) v = 22 ft/s, a = 5.5 ft/s²
c) v = 20 ft/s, a = 0.50 ft/s²
d) v = 20 ft/s, a = 5.0 ft/s²