Uncategorized: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Uncategorized. Understanding the underlying formula is key to arriving at the correct answer below:

Damped amplitude is given by \(A = A_0 e^{-\gamma t}\). Here \(e^{-\gamma t_0} = 1/2\). For \(t = 3t_0\), \(A = A_0 (e^{-\gamma t_0})^3 = 40 \times (1/2)^3 = 5\text{ cm}\).