problem launching a rocket in space a third force drag also acts on the rocket. The force varies with the high and accordingly with a Time-lapse, and seconds after the rocket is launched drag also depends on the speed of the rocket at shaping. It's altitude, ignoring the other forces, suppose the function d(t) represents the height of the rocket while experiencing drag:d(t)= -2500/t+2 +1250now let's take all three forces acting on the rocket into account suppose that the acceleration due to the Rockets engines a is equal to 200 meters/s in the acceleration due to gravity ,g, is equal to -10 meters/s. Write a function h(t) that represents the height of the rocket as a function of time old experience in the force of gravity, drag and thrust from the rocket engines.