The mass will oscillate about an equilibrium position with a period, T, and frequency, f, given by: \[\begin{aligned} T&=\frac{2\pi}{\omega}=2\pi\sqrt{\frac{m}{k}}\\ f&=\frac{1}{T}=\frac{\omeg...The mass will oscillate about an equilibrium position with a period, T, and frequency, f, given by: T=2πω=2π√mkf=1T=ω2π=12π√km The velocity and acceleration of the mass are found by taking the time derivatives of the position x(t): \[\begin{aligned} x(t)&= A \cos(\omega t + \phi)\\ v(t)&=\frac{d}{dt}x(t) = -A\omega\sin(\omega t + \phi)\\ a(t)&= \frac{d^2}{dt^2}x(…
