Step 1: Concept
$v_{\text{max}} = A\omega$.
Step 2: Analysis
If $A$ becomes $2A$, then $v_{\text{max}}$ becomes $2A\omega$, which is twice the original.
Step 3: Energy (Optional)
Total energy $E \propto A^2$, so if $A$ doubles, energy quadruples.
Final Answer: (D)