In the video, i drop a ball off a three-story balcony. we know that objects in freefall

The initial height from which the ball was dropped = 7.90 meters

Step-by-step explanation:

The correct question is:

In the video, I drop a ball off a three-story balcony. We know that objects in free fall follow the equation for height h, in meters, , where is time in seconds, and is the initial height. A student timed the drop at 1.27 seconds.

Use this to determine the height from which the ball was dropped, to at least 2 decimal places.

Solution:

The height of the free falling ball is represented by the equation as:

where is time in seconds, and c is the initial height.

To determine the initial height from which the ball was dropped.

The drop was timed at 1.27 seconds, we will plugin in the given height function to find

Since, the drop is timed at 1.27 seconds, so in the given time the ball will reach the ground, making

So, we have.

Adding both sides by 7.90 to solve for .

∴

Thus, the initial height from which the ball was dropped = 7.90 meters