The objective function is the time between the starting point and finishing gate, while state variables are positions of the ski-skier systems on a ski slope, rotational angles of skis, velocities, and rotational velocity at a discrete time, i.e., a node. Specifically, the problem is described in terms of an objective function in which state and control variables are implicitly involved. In this study the quickest lines are calculated by direct optimal control theory which converts an optimal control problem into a parameter optimization problem that is solved using a nonlinear programming method.

The determination of the ‘quickest line’ is therefore critical to winning races. One factor that could affect these small differences is the line taken between the numerous gates passed through while speeding down the ski slope. Licensed manufacturers provide some of the game’s equipment.Time differences between medalists at Olympic or World Cup alpine ski races are often less than 0.01 s.

Through a split-screen, the game can be played competitively against another player. In the air, the same button is used to perform tricks. In addition to steering, an extra button can be used to crouch and gain different speeds, restricting movement. Winning races earns credits that can be used to upgrade the snowboard and ski equipment. Each character has unique statistics for speed, turning, and power. There are eight characters to choose from (one of which is initially locked) and several courses. These are primarily used to qualify for tournaments. The Extreme Winners Cup is the primary game mode, which includes cross races, slalom, one-on-one, and time attacks.

It was a first for the series, combining skiing and snowboarding, as seen in the arcade game Alpine Surfer. The features and game modes are unlikely identical to those in the Alpine Racer 3 arcade game. This is the first game in the series to be released on a console. It is based on the arcade Alpine Racer series, played on a cabinet with the player standing on a set of ski-like foot stands that move horizontally to steer and take corners while holding onto two bars for stability. Alpine Racer 3 is a game about downhill skiing.

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