Question:

A piece of gravel is kicked from the roof of a building, 240 feet above the ground. After t seconds, the ?

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piece of gravel has fallen 16t squared feet. How far from the ground is it after 3 seconds?

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  1. Well, t would be 3, forming the expression 16(3)^2 = 16(9) = 144. So after 3 seconds, the gravel has fallen 144 feet. 240 - 144 =

    96 feet is how far it is from the ground.


  2. s = 1/2 g t^2

    where

    s = Vertical distance traveled by the gravel

    g (gravity) = 32.174 ft/s^2

    and that's how you get the formula of 16t after t seconds (32.174*1/2~16)

    so 16 * (t)^2 is the vertical distance the gravel will travel after t seconds.

    t=3 seconds so

    s=16 * (3)^2 = 16*9 =144

    Total height is 240ft and the gravel has traveled 144 ft so the remaining distance is the difference 240-144 = 96


  3. gravity = 32 f/s^2

    So 3 seconds,

    32 + 64 + 96 = 192

    192 feet.

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