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 = 520 m for x = 400 m and v, is constant at 310 m/s, find 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 of the velocity of the plane at the point when h = 520 m and x = 400 m. The magnitude is approximately (Round to the nearest integer as needed.) Find the direction of the velocity of the plane at the point when h = 520 m and x= 400 m. Enter an angle 0 such that - 180 0