The speed of an object as a function of time is given by the following equation: v² = (2 m²/s⁴)t². What is the magnitude of the object's acceleration (in m/s²) at t = 8.2 s?
a) 32.4 m/s²
b) 16.2 m/s²
c) 8.1 m/s²
d) 64.8 m/s²