A particle moves as x = A sin²ωt. Its average speed during one period of x(t) is:
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A particle moves as x = A sin²ωt. Its average speed during one period of x(t) is:

G1 Physics · Accepted Answer

The period of sin²ωt is T = π/ω. During one period x goes 0 → A → 0. Total distance = 2A. Average speed = 2A/(π/ω) = 2Aω/π.