The acceleration due to gravity for an object near the surface of the earth is approximately 9.81 m/s^2, but we can generalize this to "all falling objects" by defining falling as being attracted toward more massive object by gravitational force alone. The attractive force between the objects in this case is described by Newton's law of universal gravitation:
F = G*m_1*m_2/r^2
where G = 6.67*10^-11, m_1 and m_2 are the masses (in kilograms) of the two objects, and r is the distance (in meters) between the centers of mass of the objects. The units of G are a little complicated, but this expression simplifies to units of meters/second^2, which is acceleration.
Because the mass of a planet is so great compared to the mass of any object on its surface, the value of F does not change by a significant amount whether the falling object is a whale or a bowl of petunias.
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Both objects would eventually reach terminal velocity which means they would both fall at the same speed.- But - compared to the falling object, the downward acceleration of a thrown object is the same.
Acceleration is a net force that is inversely dependent on mass, therefore if an object's mass decreases, acceleration increases.
If you increase the force on an object acceleration increases . As F = m*a, where F = Force , m = mass of the object & a = acceleration
Perhaps you mean terminal velocity. This is the maximum velocity reached by an object falling to the ground when the acceleration due to gravity is matched by the drag resistance of the air through which it is falling.
an object's mass