Araindrop drops from a window ledge of a building. the window ledge is 80 feet above the ground. how long does it take before the drop passes by another window ledge that is 16 feet above the ground?

It takes 2 seconds before the drop passes through another window ledge that is 16 ft above the ground.

Step-by-step explanation:

The formula to find time is

Here the drop falls from a window which at a height of 80 ft.

Hence the initial velocity = 0 = u

Now when it passes through a widow at a height of 16 ft, it has covered a distance of = 80-16 = 64 ft = d

It is falling under the gravity so its acceleration = g = 9.8 m/s² = 32 ft /s²

Substituting the values in the formula we get

Dividing both sides by 16 we get

Taking square root on both sides we get

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1