A kite glides horizontally at an altitude of 30 m while we unspool the string. Consequently, the angle made between the string and the horizon diminishes. We would like to determine the rate at which this angle decreases once 40 m of string has been unspooled, given that, at that instant, the kite's horizontal velocity is 3 m/s. To solve this problem, let 9 be the angle in radians made between the string and the horizontal, m the kite's horizontal position in meters since being attached to the ground, and t the time in seconds. We further suppose that the string is straight and taut. (a) Sketch a diagram of this question and use it to express 9 as a function of m . 0 = .a rad (b) What is the value of a: at the moment in question? Give the exact value. a; = .am (c) What is the value of E at the same moment? Give the exact value, paying attention to the sign. % = a rad/s