Assuming the object begins its motion from rest, and at an initial height h from the surface of the earth: a) calculate the velocity of the object as a function of time using the laplace transform approach. b) does the object reach a terminal velocity? if so, what is this terminal velocity? note that the terminal velocity is the (constant) velocity reached after a sufficiently large time. c) compare the solution obtained for velocity in a) with the solution for the case where b = 0 (free fall under gravity without friction). provide rough sketches of the solutions for both cases.