A particle is executing SHM according to the equation x = A cos ωt. Average speed of the particle during the interval 0 ≤ t ≤ π6ω

Average velocity v  = ∫0tdxdt.dtt = ∫0tdxt = x(t)-x(0)t = A(cos π6-1)π6ω = 3 Aωπ(3 -2)since particle does not change its direction in the given interval , average speed|v| = 3 Aωπ(2-3)