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Home » Initial users, \( U_0 = 50,000 \) - Sterling Industries

Initial users, \( U_0 = 50,000 \) - Sterling Industries

📅 April 15, 2026 👤 scraface

Apr 15, 2026

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📌 The area \( A \) of a square is \( A = s^2 \), where \( s \) is the side length.

📌 The rate of change of the area with respect to time is given by \( rac{dA}{dt} = 2s rac{ds}{dt} \).

📌 Given \( rac{ds}{dt} = 2 \) cm/s and \( s = 5 \) cm,

📌 \( rac{dA}{dt} = 2 imes 5 imes 2 = 20 \) cm\(^2\)/s.

📌 Therefore, the area is increasing at a rate of 20 cm\(^2\)/s.

📌 A ball is thrown upwards with an initial velocity of 20 m/s from a height of 50 meters. How long will it take to hit the ground? (Use \( g = 9.8 \) m/s\(^2\))

📌 The equation of motion is \( h(t) = -rac{1}{2}gt^2 + v_0t + h_0 \).

📌 Substitute \( g = 9.8 \), \( v_0 = 20 \), and \( h_0 = 50 \):

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