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

Explanation

Let A be the displacement amplitude and `omega` be the angular frequency of S.H.M then maximum velocity , `V_(0)omegaA" " :. =(V_(0))/(A)`
Maximum acceleration , `a_(0)=omega^(2)A=((V_(0))/(A))`
`=(V_(0)^(2))/(A)`
`:.` Displacement amplitude , A ` = (V_(0)^(2))/(a_(0))`