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📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 N(30) = 200 \cdot e^{0.05 \times 30} = 200 \cdot e^{1.5} \approx 200 \cdot 4.4817 = 896.34

📌 The expected inventory after 30 days is approximately 896 widgets.

📌 A ball is thrown upward with an initial velocity of 20 m/s from a height of 5 meters. Determine the maximum height reached by the ball using the kinematic equations, assuming acceleration due to gravity is \( -9.8 \, \text{m/s}^2 \).

📌 The maximum height is reached when the velocity becomes zero. Using \( v^2 = u^2 + 2as \):

📌 = (20)^2 + 2(-9.8)s \implies 0 = 400 - 19.6s \implies s = \frac{400}{19.6} \approx 20.41 \, \text{m}

📌 Adding the initial height: \( 20.41 + 5 = 25.41 \, \text{m} \).

📌 The maximum height reached is approximately 25.41 meters.

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