Answer:
≈ 7.34693m
Explanation:
If we are on Earth and this object was dropped from rest, we can use a distance formula dependent on velocity and acceleration to solve.
We can use this equation:
[tex]x_t = \frac{v_f^2 - v_i^2}{2a}[/tex]
And plug in our numbers (note that because we are wanting to find total distance we can use a positive acceleration, but if we wanted to find the position it would be generally more correct to use a negative one):
[tex]x_t = \frac{12^2m^2/s^2 - 0^2}{2(9.8m/s^2)}[/tex]
[tex]x_t = \frac{12^2m^2/s^2}{19.6m/s^2}[/tex]
[tex]x_t = \frac{144m}{19.6}[/tex]
[tex]x_t \approx 7.34693m[/tex]
