**The correct option (D) – (√3/32)π**^{2}

**Explanation:**

y = Asinωt

V = (dy/at) = Aωcosωt

a = (dv/dt) = – Aω^{2} sin ωt

from graph, A = 1cm

T = 8sec

∴ ω = (2π/T) = (2π/8) = (π/4)

t = (4/3)

hence a = (– 1) (π/4)^{2} sin {(π/4) × (4/3)}

∴ a = – (π/4)^{2} × sin (π/3)

= – (√3/2) × (π^{2}/16)

= – (√3/32)π^{2}