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Home » Prenez le logarithme naturel : \( \ln(0.2) = -0.1t \). - Veritas Home Health

Prenez le logarithme naturel : \( \ln(0.2) = -0.1t \). - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \( rac{dA}{dt} = 2 imes 5 imes 2 = 20 \) 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 \( h_0 = 50 \):

📌 \( h(t) = -4.9t^2 + 20t + 50 \).

📌 Set \( h(t) = 0 \) to find when it hits the ground:

📌 \( -4.9t^2 + 20t + 50 = 0 \).

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