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Home » G) The time step size in dynamics simulations - jntua results

G) The time step size in dynamics simulations - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A ball is thrown upward with an initial velocity of 49 m/s. Using the formula \(h(t) = -4.9t^2 + 49t\), what is the maximum height reached?

📌 Maximum height occurs at vertex: \(t = \frac{-b}{2a} = \frac{-49}{2(-4.9)} = 5\) seconds

📌 \(h(5) = -4.9(25) + 49(5) = -122.5 + 245 = 122.5\) meters

📌 #### 122.5 meters

📌 A company sells two products: Product X at $40 with a 10% discount, and Product Y at $60 with a 15% discount. If 200 units of X and 150 units of Y are sold, what is the total revenue?

📌 Discounted price of X: \(40 \times 0.9 = 36\)

📌 Revenue from X: \(200 \times 36 = 7,200\)

📌 Discounted price of Y: \(60 \times 0.85 = 51\)

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