To create equations for freely falling bodies, simply replace a with g.
When freely falling bodies start from rest, v0 = 0, so:v = g ∆t∆x = 1/2 g∆t2v2 = 2g∆x
These equations refer to a situation with constant acceleration due to gravity and no air resistance. Such motion is called free fall.
Example: A ball is dropped froma height of 10 meters. How long will it be in the air before it strikes the floor?
Example: A ball is thrown vertically upward with a velocity of 100 m/s. (a) To what height will it rise? (b) How long will it take for the ball to fall back to the earth?
Example: A ball drops from rest and attains a velocity of 62 m/s. How much time has elapsed?
Example: How far did the ball in the previous problem fall during the third second?