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Me = 5.98e24; %Earth mass [kg] Re = 6378000; %Earth radius [m] V_esc = (2*G*Me/Re)^0.5/1000; %[km/s] g = G*Me/Re^2; %Acceleration of gravity[m*s-2] fprintf('Acceleration of gravity[m*s-2] %4.2f \n',g); fprintf('Escape velocity [km/s] %4.2f \n',V_esc);%% Earth Acceleration of gravity[m*s-2] 9.81 Escape velocity [km/s] 11.19.
The formula for determining the velocity of a falling object after a time of t seconds is vf = g * t (dropped from rest) where g is the acceleration of gravity. The value for g on Earth is 9.8 m/s/s. The above equation can be used to calculate the velocity of the object after any given amount of time when dropped from rest. Example calculations for the velocity of a free-falling object after six and eight seconds are shown below. Example Calculations: