## Physics: Principles with Applications (7th Edition)

If the other two variables are kept constant, one could double the amplitude A, quadruple the spring constant k, or reduce the mass to $\frac{1}{4}$ of its old value.
The maximum speed is given by equation 11-5a: $v_{max}=A\sqrt{\frac{k}{m}}$. This equation suggests various ways to double the maximum speed.