A2 June 2022 Paper 1 Q1

1 The displacement of a particle from its equilibrium position is \(x\) metres at time \(t\) seconds.

The motion of the particle obeys the differential equation

\[\frac{\mathrm{d}^2x}{\mathrm{d}t^2} = -9x\]

Calculate the period of its motion in seconds.

Circle your answer. [1 mark]

• \(\dfrac{\pi}{9}\)
• \(\dfrac{2\pi}{9}\)
• \(\dfrac{\pi}{3}\)
• \(\dfrac{2\pi}{3}\)