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Home » Compute $ \mathbfv \times \mathbfa $: - wispro

Compute $ \mathbfv \times \mathbfa $: - wispro

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Simplify: \(4x^2 + 70x - 350 = 0\).

📌 Solve using the quadratic formula: \(x = \frac{-70 \pm \sqrt{4900 + 5600}}{8}\).

📌 Approximate: \(x \approx \frac{-70 + 103.92}{8} = 4.49\) meters.

📌 A ball is thrown upward with an initial velocity of 20 m/s. Using \(h = -5t^2 + 20t\), find the maximum height reached.

📌 The height function is \(h(t) = -5t^2 + 20t\).

📌 The vertex (maximum) occurs at \(t = -\frac{b}{2a} = -\frac{20}{2 \times -5} = 2\) seconds.

📌 Substitute \(t = 2\) into the height equation: \(h(2) = -5(2)^2 + 20(2) = -20 + 40 = 20\) meters.

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