How do you calculate how long will it take an object dropped from a window to fall a distance of 78.4 meters?
4 sec
You use this formula (assuming negligible air resistance):
t = sqrt(2H/g)
H = 78.4 m in this case.
I am sure you know what g is.
To calculate how long it will take for an object dropped from a window to fall a distance of 78.4 meters, you can use the equation for free fall:
š” = ā((2š)/š),
where š” represents the time taken, š represents the distance fallen, and š represents the acceleration due to gravity.
First, you need to determine the acceleration due to gravity, š. On the surface of the Earth, the standard value for acceleration due to gravity is approximately 9.8 meters per second squared (9.8 m/sĀ²).
Next, substitute the given values into the equation:
š” = ā((2 Ć 78.4) / 9.8),
Simplifying further:
š” = ā(156.8 / 9.8),
š” = ā16,
š” ā 4 seconds.
Therefore, it will take approximately 4 seconds for the object to fall a distance of 78.4 meters when dropped from a window.