In dropping a stone or an iron ball, air resistance is practically negligible. Experiments show that the acceleration of the motion is constant {equal to g = 9.80m/sec2 = 32ft/sec2}, called the acceleration of gravity. Model this as an ODE for y(t), the distance fallen as a function oftime t. lfthe motion starts at time t = 0 from rest (i.e., with velocity v = y" = 0), show that you obtain the familiar law of free fall 3; = %gt2