Advanced physics

Rain A 0 points possible (ungraded) Suppose a droplet of rain of mass density p, initial radius Tu. and initial velocity \"Duff (where 3} points straight down) is falling through a cloud. As it falls through the cloud. water coalesces on it from the cloud. Its mass increases at a rate \"2+? = time. (Part a} Derive a differential equation that relates 3: to U (i) and set up the integral that you would solve to find U (t). You do not need to solve the integral. 3 To check that you're on the right track, you can use the answer checker below to check your value for d: terms of It? (\"beta"), o, p ("rho"), and g, as needed. . Enter your answer in g d't Save You have used D of20 attempts Rain B U points possible {ungradedj {Part b} What is the terminal speed of the raindrop? Express your answer in terms of on ("v_0"), p, {3, g, and r0 ("r_0"] as needed. ter'mimf