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 9.80 m/sec2-32 ft/sec, called the acceleration of gravity). Model this as an ODE for y(t), the distance fallen as a function of time t. If the 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 y = 1/2gt2