Final answer:
The acceleration of a skier down a frictionless slope is dependent on the skier's mass and the length of the slope.
Step-by-step explanation:
The acceleration of a skier down a frictionless slope is dependent on only two factors:
- Mass of the skier: The acceleration is directly proportional to the mass of the skier. A heavier skier will experience a greater acceleration down the slope.
- Length of the slope: The acceleration is inversely proportional to the length of the slope. A longer slope will provide a greater distance for the skier to accelerate and therefore a lower acceleration.