Question 171638
Starting with the given formula:
{{{h = s-16t^2}}} Substitute h = 5 ft. and s = 3(12ft.) = 36 ft.
{{{5 = 36-16t^2}}} Subtract 36 from both sides.
{{{-31 = -16t^2}}} Divide both sides by -16.
{{{-31/(-16) = t^2}}} Take the square root of both sides.
{{{t = 5.57/4}}}
{{{t = 1.4}}} seconds.
The woman has 1.4 seconds to get out of the way of the falling bottle, but, if I were she, I would waste no time in doing this algebra! I would move immediately!