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Home » Thus, the number of valid ways to choose 3 tributaries is: - ECD Germany

Thus, the number of valid ways to choose 3 tributaries is: - ECD Germany

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 #### 84 cm²

📌 A ball is thrown upward with initial velocity 32 m/s from 20 meters high. When does it hit the ground? (Use \( g = 9.8 \, \text{m/s}^2 \))

📌 Equation: \( h(t) = -4.9t^2 + 32t + 20 \)

📌 Set \( h(t) = 0 \): \( -4.9t^2 + 32t + 20 = 0 \)

📌 Use quadratic formula: \( t = \frac{-32 \pm \sqrt{32^2 + 4 \times 4.9 \times 20}}{2 \times 4.9} \)

📌 Discriminant: \( 1024 + 392 = 1416 \), \( \sqrt{1416} \approx 37.65 \)

📌 \( t = \frac{-32 + 37.65}{9.8} \approx 0.68 \) (discard negative root)

📌 More precisely: \( t \approx 6.94 \) seconds

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