# Oscillating Mass on a Frictionless Surface, finding maximum speed and acceleration

Homework Statement
A mass of 1.11 kg on a spring rests on a frictionless surface and has a horizontal force of magnitude 1.23 N applied to it to keep it 1.3 m from the equilibrium. The mass undergoes simple harmonic motion when released.

What is the maximum speed? What is the maximum magnitude of acceleration? What is the magnitude of acceleration of the mass when it's displacement is one fifth of the maximum value?

The attempt at a solution

From previous questions in the series,
k = 0.946
f = 0.147
ω = (2)(pi)(0.147)

My issue is that I don't know how to go about solving for maximum speed or maximum magnitude of acceleration.

If you check your SHM equations you should find that max speed is when displacement = 0
and max acceleration is when displacement is a maximum (ie at the amplitude)
Max speed = ωA and max acceleration = Aω^2
Hope this gets you into it

If you check your SHM equations you should find that max speed is when displacement = 0
and max acceleration is when displacement is a maximum (ie at the amplitude)
Max speed = ωA and max acceleration = Aω^2
Hope this gets you into it

I was missing those equations in my notes. I've got the answers now. Thank you very much!