In the school cafeteria, a trouble-making child blows a 12.0 g spitball through a 25.0 cm straw. The force (F) in Newtons, of his breath as a function of the distance along the straw (x) in meters, can be modeled as a linearly decreasing function for the first half of the straw then a constant force through the rest of the straw. The force decreases by half along the rst half of the straw. Assume there is negligible friction and the straw is held horizontally. (a) Sketch a plot of the force of his breath as a function of position along the straw, labeling the force at x : 0 as F0. (b) If the spitball begins from rest and leaves the straw with a speed of 16 m/s, how much work is done on the spitball? (c) What is the maximum force Fa, that acts on the spitball? (d) Use Proportionality sensemaking to analyze your answer to part (c). Would you expect the maxi mum force to increase or decrease if the same amount of work is done on the spitball while the length of the straw decreased? Does your expression for the maximum force portray your expec- tations