A particle is known to have acceleration ( a = 39.3t³ e⁻²ᵗ ). Assuming that at time ( t = 0 ) velocity is zero, what is the displacement in the positive direction from ( t = 0 ) to ( t = 0.764 )?

a) 9.82 m
b) 14.65 m
c) 18.23 m
d) 22.79 m