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=196 m for x=196 m and vx is constant at 380m/s, find the velocity at this point.

It is given that theairplane'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=

Find the magnitude of the velocity of the plane at the point when h=196 m and x=196 m.

The magnitude is approximately

Find the direction of the velocity of the plane at the point when h=196 m and x=196 m. Enter an angle such that 180<180.