The x - t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t = 4 3 s is:

Step-by-step solution

x = sin ⁡ 2 π 8 t a = - ω 2 x = - 2 π 8 × 2 π 8 × sin ⁡ 2 π 8 × 4 3 ⇒ a = π 2 16 × 3 2 = - 3 π 2 32 cm   s - 2