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Home » Wander Over Yonder Show: This Unsung Destination Has Everyone Obsessed! - Dachbleche24

Wander Over Yonder Show: This Unsung Destination Has Everyone Obsessed! - Dachbleche24

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Une balle est lancée vers le haut depuis le sol avec une vitesse initiale de 32 m/s. L’hauteur \( h \) en mètres après \( t \) secondes est donnée par \( h = -5t^2 + 32t \). À quel moment la balle atteindra-t-elle sa hauteur maximale ?

📌 La hauteur maximale se produit à \( t = -\frac{b}{2a} \) pour \( h = at^2 + bt + c \), où \( a = -5 \) et \( b = 32 \).

📌 Ainsi, \( t = -\frac{32}{2(-5)} = \frac{32}{10} = 3.2 \) secondes.

📌 #### 3.2 secondes

📌 La somme des \( n \) premiers termes d’une suite arithmétique est 110, le premier terme est 5 et la raison est 3. Trouvez \( n \).

📌 La somme des \( n \) premiers termes est \( S_n = \frac{n}{2}(2a + (n-1)d) \).

📌 En substituant \( S_n = 110 \), \( a = 5 \) et \( d = 3 \) : \( 110 = \frac{n}{2}(2 \cdot 5 + (n-1) \cdot 3) \).

📌 Cela se simplifie en \( 110 = \frac{n}{2}(10 + 3n - 3) \) ou \( 110 = \frac{n}{2}(3n + 7) \).

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