refer to question below. can you verify if my answer is correct??

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 v. lis constant at 380 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= 24 (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 537 m/ s. (Round to the nearest integer as needed,)