Problem 1116. Calculate the height of an object dropped from the sky

Assume that an object is dropped from 1000 meters above the surface of the earth at time t=0. The object is dropped such that the initial velocity and acceleration are both zero.

Write a function to determine the height, h, of the object at any time, t, where h=0 is the surface of the earth. Assume the acceleration due to gravity is constant 9.8 m/s^2. Also, assume that before the object is dropped (negative t) it is being held at a constant height of 1000 meters. Finally, assume that after the object hits the ground it remains at h=0.