The displacement of the pendulum at $t = 16$ seconds is approximately $7.98$ cm.

Would you like further details or have any questions?

Here are 5 related questions to explore:

1. What is the amplitude of the pendulum's motion?
2. How would the displacement change if the angular frequency was different?
3. What is the maximum displacement of the pendulum?
4. How is the period of the pendulum related to its angular frequency?
5. How would the equation change if the pendulum were subject to damping?

Tip: In simple harmonic motion, the maximum displacement occurs when $\cos(0) = 1$, meaning the pendulum reaches its amplitude.