Let's break this into pieces. First I'm going to assume the center of the Ferris wheel is on the ground. (Yes, I realize that half the wheel is now buried. (Dang it Jim, I'm a theoretical physicist not an engineer!)) I'm also going to assume the Ferris wheel is rotating counterclockwise and we are going to measure Jacob's position by an angle theta measured CCW from the ground to his position.

The angular speed of the Ferris wheel is constant and is

so

At this stage Jacob's height is:

Obviously the center of the Ferris wheel isn't on the ground. Since the lowest point of the wheel is 1 m above the ground we know the center is 17 m (1 m + 16 m) above the ground. So Jacob's height is:

What's ? Well, the wheel is turning at 3 rpm, so the angular speed in rad/s will be:

rad/s

Thus

-Dan