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Home » h = \sqrt10^2 - \left(\fracb2\right)^2 = \sqrt100 - \fracb^24 - Dachbleche24

h = \sqrt10^2 - \left(\fracb2\right)^2 = \sqrt100 - \fracb^24 - Dachbleche24

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 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.

📌 #### 25.41

📌 A radioactive substance decays exponentially with a half-life of 10 years. If the initial mass is 50 grams, calculate the remaining mass after 25 years.

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