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Home » ≈ 1.2089 × 10¹⁹ — but for math competition, better to compute difference: - jntua results

≈ 1.2089 × 10¹⁹ — but for math competition, better to compute difference: - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A ball is thrown upwards with an initial velocity of 20 m/s from a height of 50 meters. Using the equation \( h(t) = -5t^2 + 20t + 50 \), where \( h \) is the height in meters and \( t \) is the time in seconds, find the time when the ball hits the ground.

📌 Set \( h(t) = 0 \):

📌 \( -5t^2 + 20t + 50 = 0 \)

📌 Divide the entire equation by -5:

📌 \( t^2 - 4t - 10 = 0 \)

📌 Use the quadratic formula: \( t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \)

📌 Here, \( a = 1, b = -4, c = -10 \)

📌 \( t = \frac{4 \pm \sqrt{16 + 40}}{2} \)

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