The maximum acceleration of a simple harmonic oscillator is `a_(0)` and maximum velocity is `v_(0)`. What is the displacement amplitude?

Explanation

`A_(max)= omega^(2)a = A_(0), U_(max) = omegaa = v_(0)
Rightarrow omega = v_(0)/a
therefore a = (A_(0))/(omega _(2)) Rightarrow a =(A_(0))/(v_(0)^(2))a^(2)
Rightarrow a = (v_(0)^(2))/A_(0)`