An airplane ascends such that its gain h in altitude is proportional to the square root of the change x in horizontal distance traveled. If h = 416 m for x= 255 m and v)( is constant at 320 mils, nd the velocity at this point. It is given that the airplane's gain h in altitude is proportional to the square root of the change x in horizontal distance traveled. Find the proportionality constant k for when h is expressed as a function of x. k = [Simplify your answer. Round to the nearest integer as needed.) Find the magnitude ofthe velocity of the plane at the point when h = 416 m and X: 256 m. The magnitude is approximately V (Round to the nearest integer as needed.) Find the direction of the velocity of the plane at the point when h = 416 m and x=256 n1. Enter an angle I3 such that - 180 S E