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Home » \(T = 2\pi\sqrt{\frac2.59.8}\) - High Altitude Science

\(T = 2\pi\sqrt{\frac2.59.8}\) - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 An ornithologist tracks a hawk flying along a straight path. Its position at time t (in hours) is given by x(t) = 4t² - 12t + 9. At what time does the hawk reach its closest approach to the starting point?

📌 The minimum distance occurs when velocity is zero.

📌 v(t) = dx/dt = 8t - 12

📌 Set v(t) = 0: 8t - 12 = 0 → t = 12/8 = <<12/8=1.5>>1.5 hours

📌 An anthropologist studies clothing preferences in a village of 120 people: 75 wear woven fabrics, 55 wear dyed fabrics, and 30 wear both. How many wear only one type of fabric?

📌 Only woven = 75 - 30 = <<75-30=45>>45

📌 Only dyed = 55 - 30 = <<55-30=25>>25

📌 Only one type = 45 + 25 = <<45+25=70>>70

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