The minimum distance occurs when velocity is zero.

February 22, 2026

The minimum distance occurs when velocity is zero.

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P(either) = 35 + 20 + 25 = <<35+20+25=80>>80
Neither = 100 - 80 = <<100-80=20>>20
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?
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?

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