A force that varies according to a relation $F = \frac{-t^2}{3} \, N$, where $t$ is the elapsed time in seconds, is applied to a $0.32 kg$ mass traveling with a speed of $16m/s$. Determine the time required for the mass to come to a complete stop. Assume the force is initially zero and the mass travels in the horizontal plane.

A. $3.6s$
B. $3.13s$
C. $2.4s$
D. $2.1s$
E. $1.7s$