Question

How do you calculate the acceleration of an object if it was dropped from rest and hit the ground in a certain amount of time?

Answer 1

If an object is dropped from rest and you want to calculate its acceleration based on the time it takes to hit the ground, you can use the following equation:

$d=\frac{1}{2}g{t}^2$

In this equation, "d" represents the distance traveled by the object, "g" represents the acceleration due to gravity (approximately 9.8 m/s² on Earth), and "t" represents the time it takes for the object to hit the ground.

Since the object is dropped from rest, its initial velocity is zero. Therefore, the equation for calculating distance simplifies to:

$d=\frac{1}{2}g{t}^2$

Now, we can solve this equation for acceleration. Rearranging the equation gives:

$g=\frac{2d}{t^2}$

So, the acceleration of the object can be calculated by dividing twice the distance traveled by the square of the time it takes for the object to hit the ground.