### Steel Ball

Write the speed of the ball at the top of the window as

and at the bottom of the window

Call the time between when the ball is at the top of the window and at the bottom of the window

So we know

These speeds are related:

The average speed is

The distance traveled in the time

is

We can solve this for

Now that we know

we can find the height of the building above the top of the window.
The time that the object has fallen to get to the top of the window
is

The total time for falling is then
(0.916s)+(0.125s)+(1.0s)=2.04s.
Note that we had to divide the last time by two!

The total distance from the top of the building to the bottom is then