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Home » Substituez dans la première équation : - Roya Kabuki

Substituez dans la première équation : - Roya Kabuki

📅 May 8, 2026 👤 scraface

May 08, 2026

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📌 This can be expressed as:

📌 h(t) = R\sin\left(\frac{\pi}{6}t + \phi\right)

📌 where $ R = \sqrt{4^2 + 3^2} = \sqrt{16 + 9} = \sqrt{25} = 5 $

📌 So the maximum height is $ \boxed{5} $.

📌 To find the time at which this maximum occurs, we use:

📌 \tan\phi = \frac{3}{4} \Rightarrow \phi = \arctan\left(\frac{3}{4}\right)

📌 The maximum of $ \sin(\cdot) $ occurs when its argument is $ \frac{\pi}{2} $, so:

📌 \frac{\pi}{6}t + \phi = \frac{\pi}{2} \Rightarrow t = \frac{\frac{\pi}{2} - \phi}{\frac{\pi}{6}} = \frac{6}{\pi} \left( \frac{\pi}{2} - \arctan\left(\frac{3}{4}\right) \right)

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