Consider measuring the free-fall motion of a particle

Chapter , Problem 91

(choose chapter or problem)

Consider measuring the free-fall motion of a particle (neglect air resistance). Before the advent of computer-driven data-logging software, these experiments typically employed a wax-coated tape placed vertically next to the path of a dropped electrically conductive object. A spark generator would cause an arc to jump between two vertical wires through the falling object and through the tape, thereby marking the tape at fixed time intervals _t. Show that the change in height during successive time intervals for an object falling from rest follows Galileos Rule of Odd Numbers: _y21 _ 3_y10, _y32 _ 5_y10, . . . , where _y10 is the change in y during the first interval of duration _t, _y21 is the change in y during the second interval of duration _t, etc. SSM SSM