Question

i don't understand the simplification of the following equation:

Answer 1

\[v = \pm \sqrt{\frac{ k }{ m }\left( A^{2} - x^{2} \right)}\]
given \[v_{\max} = A \sqrt{\frac{ k }{ m }}\]
how do we get this: \[v = v _{\max}\sqrt{1 - \frac{ x^{2} }{ A ^{2} }}\]

Answer 2

@ajprincess

Answer 3

@Calcmathlete @amistre64