a hammer and a feather are dropped from the same height imagine that there is no resistance to the objects motion in are which value will be different for the two objects

In the absence of air resistance, the only difference between the hammer and feather would be their mass. The hammer has a much larger mass compared to the feather. As a result, both objects would accelerate downwards at the same rate due to gravity (9.81 m/s^2), as dictated by the universal law of gravitation. However, the hammer would have a greater force of gravity acting on it due to its larger mass, which would cause it to hit the ground with a greater impact than the feather.