Section 1 The height h that a golf ball reaches after being shot by a machine is described by the function:
h(t) = 35t - 4.9t^2

And the horizontal distance d it can travel is described by the function:
d(t) = 52t

On both equations, t is the elapsed time in seconds.

Based on those two equations:

a) Compose a function that describes the height h of such a ball depending on the fact distance d it travels.

b) Calculate the height h for a ball that has traveled a horizontal distance of 200 meters.