A pebble falls off a cliff at a height of 1,296ft . If the equation for height as a
function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the pebble
to hit the ground?
[?] seconds
Enter

Step-by-step explanation:

The equation for this free fall problem is

where h(t) is the height of the pebble from the ground at any time t. If we are looking for the time it takes the pebble to hit the ground, knowing that at ground level the height is 0, we set the quadratic equal to 0 and solve for t:

and

and

so

t = -8, 8

Since time will never be negative,

t = 8 seconds

the square root of what number? if you add that, then someone will probably answer the question.