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Home » Solution: The slope of the terrain is given by the derivative: - Midis

Solution: The slope of the terrain is given by the derivative: - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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A ball is thrown upwards with an initial velocity of 20 m/s from a hei...
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, \( a = 1, b = -4, c = -10 \)
\( t = \frac{4 \pm \sqrt{16 + 40}}{2} \)
\( t = \frac{4 \pm \sqrt{56}}{2} \)
\( t = \frac{4 \pm 2\sqrt{14}}{2} \)

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