A particle moves along the x-axis. For 0 < t < 6, the velocity of the particle is given by v(t) = 4(t² - 6t - 1). What can be inferred about the particle's motion during this time interval?
A) The particle moves in the positive x-direction for 0 < t < 2 and then changes direction.
B) The particle is at rest at t = 3 and changes direction afterward.
C) The particle moves in the negative x-direction for 0 < t < 2 and then changes direction.
D) The particle is at rest at t = 6 and changes direction afterward.
