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3 September, 20:45

A 72 kg skydiver can be modeled as a rectangular "box" with dimensions 21 cm * 41 cm * 170 cm. if he falls feet first, his drag coefficient is 0.80. part a what is his terminal speed if he falls feet first? use ρ = 1.2 kg/m3 for the density of air at room temperature.

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  1. 3 September, 20:54
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    Formula for terminal velocity is:

    Vt = √ (2mg/ρACd)

    Vt = terminal velocity = ?

    m = mass of the falling object = 72 kg

    g = gravitational acceleration = 9.81 m/s^2

    Cd = drag coefficient = 0.80

    ρ = density of the fluid/gas = 1.2 kg/m^3

    A = projected area of the object (feet first) = 0.21 m * 0.41 m = 0.0861 m^2

    Therefore:

    Vt = √ (2 * 72 * 9.81 / 1.2 * 0.0861 * 0.80)

    Vt = 130.73 m/s
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