Newton's Laws of motion & gravitation give F = ma =GMm/r^2 where r is distance from center of Earth (roughly constant for dropping light & heavy objects). The mass m of the object cancels out, so its acceleration doesn't depend on its mass. Assume that air resistance isn't a factor.
Galileo...
If you use Newton's 2nd Law (via Euler-Lagrange Equation) for a rotating reference system, the Coriolis and centrifugal accelerations "pop out" of the equations.
time-dependent position of object under sun's gravitation
In freshman physics, Newton's 2nd law & gravitational law are solved for the velocity as a function of position (distance of a non-orbital object from the sun) where it's given that the sun is stationary due to its enormous mass...