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Home » Shocking Math You NEED to Know: The Top Kinematics Formulas Explained! - Silent Sales Machine

Shocking Math You NEED to Know: The Top Kinematics Formulas Explained! - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 v(t) = \frac{ds}{dt} = 3t^2 - 12t + 9

📌 Set \( v(t) = 0 \):

📌 3t^2 - 12t + 9 = 0

📌 t^2 - 4t + 3 = 0

📌 So, \( t = 1 \) or \( t = 3 \) seconds.

📌 #### 1 and 3

📌 A herpetologist tracks a population of endangered frogs. The population grows exponentially according to \( P(t) = P_0 e^{0.08t} \), where \( P_0 = 500 \). How long will it take for the population to double?

📌 Set \( P(t) = 2P_0 \):

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