Calculus

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Suppose a player is running from first to second base 20ft/s. Find rate at which distance from home plate is changing when the player is 30ft away from 2nd base?(home plate to 1st and 3rd base is 90ft)

  • Calculus -

    bases are arranged in a square, 90 ft on a side

    f = home to 1st , s = distance from 1st

    distance to home plate (p)
    ... p^2 = f^2 + s^2 = 90^2 + 60^2

    2 p dp/dt = 2 s ds/dt

    dp/dt = (s / p) ds/dt

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