Identify the correct statements for an SHM with amplitude A and maximum velocity = V
(i)At position x = $\frac{A}{2}$ , velocity lags displacement by $\frac{π}{2}$
(ii)At position x = $\frac{A}{\sqrt{2}}$ , velocity leads displacement by $\frac{π}{4}$
(iii)When velocity = $\frac{V}{\sqrt{2}}$ , acceleration leads velocity by $π$
(iv)When velocity = $- \frac{V}{\sqrt{2}}$ , acceleration leads velocity by $\frac{π}{2}$

Question

Infinity Learn · Accepted Answer

In SHM, $$y=Asin$$⁡ωt ∴ Velocity, $$v=A$$ω$$cos$$⁡ω$$t=A$$ω$$sin$$⁡ω$$t+$$π$$2and$$ acceleration, $$a=$$−Aω$$2sin$$⁡ω$$t=A$$ω$$2sin$$⁡$$($$ω$$t+$$π$$)Velocity$$ leads displacement by π$$2$$ , acceleration leads velocity by  π$$2$$.

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