Abstract: A deceleration method and apparatus for stopping a racing vehicle a predetermined distance beyond a race course finish line after a speed run from a standing start. A tether system having an elongated free payout portion is attached to the vehicle at the start line. The tether payout portion is arranged behind the vehicle for easy payout. It is relatively light so as not to impede travel of the vehicle over the race course. The length of the payout portion approximates the length of the course so that all slack is taken out of it by the time the vehicle reaches the finish line. Energy absorbing apparatus is attached to the tether system to place the payout portion in tension when it is payed out. In one embodiment the energy absorbing apparatus includes a manually operated friction braking system. In another embodiment it includes a hydraulic braking system employing rotor vanes rotating past stators in a compartment containing a liquid such as water.