2. A meteorologists launch a weather balloon every day to collect data such as critical temperature, humidity, wind and atmospheric pressure measurements. Consider the figure below, where a weather balloon is launch from a weather station. At the instant considered, the horizontal position of the balloon is defined by x = (4t) ft, where t is in seconds. If the equation of the path is approximated to be y = (0.2x2 + 1) ft, and when t = 3 s, determine (a) the angle between the station and balloon at this instant; and (b) how fast the angle between the station and the balloon is changing at this instant when dix dt 4 It ? B y =0.2r'+1 A X = ? @1-35