Equations for a falling body
A set of equations describe the paths in which objects move because of the gravitational force under Earth. Newton's law of universal gravitation simplifies to F = mg, where m is the mass of the body. This is reasonable for objects falling to earth over the short vertical distances of our everyday experience, but is untrue over larger distances, such as spacecraft orbits. Earth gravitational acceleration is 9.8 m/s2
Equations For A Falling Body Media
An initially stationary object which is allowed to fall freely under gravity falls a distance proportional to the square of the elapsed time. This image, spanning half a second, was captured with a stroboscopic flash at 20 flashes per second. During the first 0.05 s the ball drops one unit of distance (about 12 mm), by 0.10 s it has dropped at total of 4 units, by 0.15 s 9 units, and so on.
Measured fall time of a small steel sphere falling from various heights. The data is in good agreement with the predicted fall time of \sqrt{2h/g}, where h is the height and g is the acceleration of gravity.
