  Considering the corrected Unruh temperature as well as the entropic force
perspective of gravity, we are able to derive the modification of the Newton's
law of gravity. In addition, we also investigate the effects of the highest
achievable acceleration correction to the Unruh temperature on the Poisson
equation. Moreover, we address modifications to the Newtonian cosmology as well
as the Friedmann equations corresponding to the upper bound for acceleration.
