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Home » The derivative is \(f'(x) = 12x^3 - 10x + 7\). - Silent Sales Machine

The derivative is \(f'(x) = 12x^3 - 10x + 7\). - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 The total remains $1.2M, so the allocation for equipment in year 2 is $330,000

📌 #### 330000

📌 Maya, a high school student in physics, is analyzing a projectile launched at 30 m/s at a 30° angle. If the acceleration due to gravity is \(9.8 \, \text{m/s}^2\), what is the maximum height reached by the projectile?

📌 Vertical component of velocity:

📌 v_y = v \cdot \sin(\theta) = 30 \cdot \sin(30^\circ) = 30 \cdot 0.5 = 15 \, \text{m/s}

📌 Use the kinematic equation:

📌 v_y^2 = 2gh \Rightarrow h = \frac{v_y^2}{2g} = \frac{15^2}{2 \cdot 9.8} = \frac{225}{19.6} \approx 11.48 \, \text{m}

📌 #### 11.48

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