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March 29, 2017

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A man on the 8th floor of a building sees a bucket (dropped by a window washer) pass his window and notes that it hits the ground 1.5s later. Assuming a floor is 12ft high (and neglecting air friction), from which floor was the bucket dropped?

  • Math - ,

    as it passed the window with speed s, it will fall

    st+16t^2 feet in t more seconds
    1.5s + 16*9/4 = 1.5s+36 feet

    It fell 8*12 = 96 feet, so
    1.5s+36=96
    s = 40

    since s = 32t, t = 1.25 at the 8th floor.

    So, in the first 1.25 seconds, it fell

    16*25/16 = 25 feet

    Looks like it fell from the 10th floor.
    Doesn't feel quite right. Better check my math.

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