Moderate -0.5 This is a straightforward SHM problem requiring direct application of the standard velocity formula v² = ω²(a² - x²). Students need to identify amplitude (3m), calculate ω from period (ω = 1/2), determine displacement from centre (1m), then substitute. It's more routine than average A-level questions since it's purely procedural with no conceptual challenges or multi-step reasoning.
A particle \(P\) oscillates in simple harmonic motion between the points \(A\) and \(B\), where \(AB = 6\) m. The period of the motion is \(4\pi\) s. Find the speed of \(P\) when it is 2 m from \(B\). [3]
A particle $P$ oscillates in simple harmonic motion between the points $A$ and $B$, where $AB = 6$ m. The period of the motion is $4\pi$ s. Find the speed of $P$ when it is 2 m from $B$. [3]
\hfill \mbox{\textit{CAIE FP2 2018 Q1 [3]}}