Question

If the displacement, velocity and acceleration at an instant of a particle describing S.H.M are respectively 7.5m,7.5m/s,7.5m/s2. Calculate the maximum velocity of the particles

Answer 1

$$\omega^2=\frac{a}{x}=\frac{7.5}{7.5}=1\to \omega=1\frac{rad}{s}$$

$$V^2=v^2+\omega^2x^2=7.5^2+1^2(7.5)^2\\ V=10.6\frac{m}{s}$$