The speed of an object under free fall that starts at rest can be found using the formula:
[tex]v=gt[/tex]Where g is the gravitational acceleration:
[tex]g=9.8\frac{m}{s^2}[/tex]Remember that the velocity is a vector quantity. While the speed can be found using the given formula, a free falling object that starts at rest will get a velocity directed to the downward direction.
Substitute the value of g and the different values of t (6 seconds and 10 seconds) to find the velocity of the object at those moments:
[tex]v_1=(9.8\frac{m}{s^2})(6s)=58.8\frac{m}{s}[/tex][tex]v_2=(9.8\frac{m}{s^2})(10s)=98\frac{m}{s}[/tex]Therefore, the velocity of a freely falling object 6 seconds after being dropped is 58.8m/s downwards.
The velocity of a freely falling object 10 seconds after being dropped is 98m/s downwards.
