Our initial concept sketch had elements of the final game with the linear motion of the game character.

For the sake of game logic, we decided to make the game with the rules of "red light green light" using an IR sensor for the "stop" motion.

The linear motion module is used to realize the glimp motion and mainly consists of a continuous servo motor, a rack and pinion mechanism, limit switches and a base.

The pinion gear, mounted directly on the motor shaft, engages a rack attached to the moving carriage. On the opposite side, a smooth guide rail provides parallel support to ensure balanced load distribution and prevent binding. Limit switches at both ends of travel provide over-travel protection and enable position referencing during initialization.

Assembly:

(1) mount the motor to its support bracket
(2) insert the rack through the motor enclosure
(3) bind the pinion gear to servo arm using fishing line (similar to this video)
(4) press-fit the servo arm (with the gear) onto the motor shaft
(5) use a servo horn screw to tighten the connection in (4)
(6) install the limit switches at each end of the rail

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