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 = 288 m for x = 144 m and vy is constant at 360 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 = 288 m and x = 144 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 = 288 m and x = 144 m. Enter an angle 0 such that - 180 0