The invention relates to a vehicle (1) for transporting people on a sloping track (V) of a cable transport installation, said vehicle comprising a carriage (10) suitable for running on the track (V) while being drawn by at least one traction cable (C1) of the transport installation, a cabin support (120) carried by the carriage (10), an onboard braking device (14) and a shock absorber (13) linked to the onboard braking device and to the cabin support (120), and suitable for transforming the kinetic energy of the cabin support (120) into heat when the cabin support (120) moves relative to the onboard braking device (14) along a shock absorption trajectory in the shock absorption direction, characterized in that the onboard braking device (14) is rigidly connected to the carriage (10) and the vehicle also comprises a slide link (12) between the cabin support (120) and the carriage (10) to guide a movement of the cabin support (120) relative to the carriage (10) along the shock absorption trajectory.