Hi Steven, part 1 and 2 explained in the picture. If you trace the carriage, it starts from the bottom at time 0. It looks like a sine wave shifted 90 degrees to the right and raised 150 meters up. Taking into account period = 2Pi/b and 0.8rpm, you can find b, in seconds. The rest can be calculated using the formulated equation from part 1 and 2.