In vacuum all falling objects will have same acceleration.
The constant acceleration is due to gravitational force of earth and is known as acceleration due to gravity given by: g = G\(\frac{M}{R^2}\)
where,
G = Gravitational Constant = 6.67 x 10-11 Nm2kg-2
M = Mass of Earth
R = Radius of Earth
From above, we see that all variables in the equation are constant. Thus g doesn’t depend on any other factors, and hence is constant.
Hence, option C is correct.