Welcome to CS1003 International Airport! You have been hired by this airport to develop a program that involves calculating various values for airplanes that will help air traffic control. An airplane takes off from rest at an acceleration of +2.50m/s for 185km. Once in the air, the plane must slow down at a deceleration of -0.50m/s until it reaches a constant speed of 1080km/h to avoid other planes in the surrounding area. What is the distance the airplane travels while decelerating? Hint: you will need to find the velocity of the airplane at the end of the acceleration period to calculate the displacement. Assume air resistance and wind speed will be negligible. Helpful Formulas: daV At+0.5aAt V = V + aAt V = V2 + 2aada a = Acceleration of take off in m/s a = Deceleration until constant velocity in m/s d = Distance travelled while acceleration in m da = Distance travelled while deceleration in m V = Initial Velocity in m/s Vp = Peak velocity after acceleration in m/s V, = Deceleration until constant velocity in m/s At Time until maximum velocity in seconds