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Home » Shawn Levy’s Darkest Films Exposed—Shocking Twists Everyone Missed! - Carbonext

Shawn Levy’s Darkest Films Exposed—Shocking Twists Everyone Missed! - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Let \( S(t) \) be the salt in kg at time \( t \).

📌 The differential equation is \( \frac{dS}{dt} = 0.5 - \frac{0.5S}{200} \).

📌 Solving gives \( S(t) = 10e^{-0.0025t} + 20(1 - e^{-0.0025t}) \).

📌 At \( t = 30 \), \( S(30) = 10e^{-0.075} + 20(1 - e^{-0.075}) \approx 14.31 \) kg.

📌 #### 14.31

📌 A car accelerates uniformly from rest to 60 m/s in 10 seconds, then maintains constant speed for 20 seconds, and finally decelerates uniformly to rest in 5 seconds. What is the total distance traveled?

📌 Acceleration phase: \( a = \frac{60}{10} = 6 \, \text{m/s}^2 \); distance \( = \frac{1}{2} \times 6 \times 10^2 = 300 \, \text{m} \).

📌 Constant speed: \( d = 60 \times 20 = 1200 \, \text{m} \).

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