Question

To measure how tall a building is, a stone is left to fall from the top floor to the ground and the time it takes to reach the ground is measured. To increase the precision, the experiment is run multiple times and different readings were taken and placed in a list called measurements. Write a function height (measurements) to calculate how tall is the building. It should compute the average t of the values from the list of measurements received as the function parameter and calculate the height h given the equation h=1/2( g* t²) where g=9.81 m/s² for Dublin. The function returns the height expressed in meters. Answer: (penalty regime: 10,20,…% )

Answer 1

To approximate the height of a building using the time it takes for a stone to fall, a function would calculate the average time from multiple measurements, then use the equation h = 1/2 (g * t²), where g is 9.81 m/s², to find the height.

Step-by-step explanation:

To calculate the height of a building using a falling stone, we can use the equation h = 1/2 (g * t²), where g is the acceleration due to gravity, which is 9.81 m/s² in Dublin, and t is the time in seconds it takes for the stone to fall to the ground.

The function height (measurements) would first calculate the average time by summing all the times in the measurements list and dividing by the number of measurements. It would then use this average time to calculate the building's height using the given formula. Here's a step-by-step breakdown of the function:

1. Sum all the time measurements in the list.
2. Divide the sum by the total number of measurements to get the average time (t).
3. Plug the average time into the equation h = 1/2(g * t²).
4. Return the calculated height (h).

This method assumes that air resistance is negligible and that the acceleration due to gravity is constant over the height of the building.