Any object under free fall accelerates at a constant rate given by the gravitational acceleration:
[tex]g=9.81\frac{m}{s^2}[/tex]On the other hand, the speed v of an object under free fall after t seconds, if it starts from rest, is given by the formula:
[tex]v=gt[/tex]Replace g=9.81m/s^2 and t=5s to find the speed of the object 5 seconds after the object is dropped:
[tex]v=(9.81\frac{m}{s^2})(5s)=49.05\frac{m}{s}[/tex]Therefore, the speed of the object after 5 seconds is approximately 49 meters per second. Its acceleration is always the same and it is equal to 9.81 meters per second squared.
