.

Note

1. $$a = -\omega^2 x$$;

2. $$x_0$$: amplitude/max displacement;

3. $$v_0= x_0 \times \omega$$: max velocity;

4. $$a_0= x_0 \times \omega^2$$: max acceleration;

5. $$\omega = \sqrt{\frac{k}{m}}$$, for a spring-mass system with stiffness *k* (or force per unit extension) and mass *m*. From Hooke's law *F= -k x* *= m a*.