1. Anthony is a curious student interested in describing the falling motion of a rain drop through the air. Since air resistance is being considered, he cannot use the kinematic equations of free fall. Instead, he derives an equation (below) for the speed v of the drop, where y is the vertical distance the drop falls, and a, , and g are known constants: = 0.5 m/s B = 1.2 m/s g = 9.8 m/s. Using dimensional analysis, show whether this is a reasonable equation for speed: 2gy v = a (1 2gy - e -24 ) + Be - 224. 2. Two masses, m = 1.0 kg and m2 = 4.0 kg, are connected by a string that passes over a pulley. Mass m is on a table, and mass m2 hangs freely off the edge. If the system is released from rest, calculate the acceleration of the masses. Assume the pulley is frictionless and massless.