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Math Help - Calculating Stopping Distance from starting speed and constant deceleration

  1. #1
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    Calculating Stopping Distance from starting speed and constant deceleration

    I know this is simple but I can't remember how to do this at all! Just going over antiderivatives...

    Starting speed = 55mph (straight road)
    Constant deceleration = 11ft/s^2

    How do I work out the stopping distance?

    Thanks for any help!!
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  2. #2
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    convert v_0 = 55 \, mph to ft/sec

    v(t) = v_0 - 11t

    calculate the amount of time it takes to stop ... t_s

    stopping distance = \int_0^{t_s} v(t) \, dt

    note that the stopping distance is very easy to calculate with a velocity graph.
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