96 ... CP CALC You have entered a contest in which the contest- ants drop a marble with mass 20.0 g from the roof of a building onto a small target 25.0 m below. From uncertainty considera- tions, what is the typical distance by which you will miss the tar- get, given that you aim with the highest possible precision? (Hint: The uncertainty Ax, in the x-coordinate of the marble when it reaches the ground comes in part from the uncertainty Ax; in the x- coordinate initially and in part from the initial uncertainty in Ux. The latter gives rise to an uncertainty Av, in the horizontal motion of the marble as it falls. The values of Ax; and AUx are related by the uncertainty principle. A small Ax; gives rise to a large Avr, and vice versa. Find the value of Ax; that gives the smallest total uncertainty in x at the ground. Ignore any effects of air resistance.)