Question

1. communicate and justify a downhill skier is fastest when her skis are parallel. what should ∠1 be in order for the skier to maximize her speed through a gate? which theorem justifies your answer?

Explanation:

Step1: Recall fluid - dynamics and skiing principles

In skiing, to maximize speed through a gate, reducing air - resistance and surface - friction is key. When the skis are parallel, the skier wants to minimize the cross - sectional area facing the direction of motion.

Step2: Identify the relevant theorem

The principle of least resistance (a concept related to fluid dynamics in the context of skiing) justifies that the skier should lean forward and keep her body streamlined. This reduces the frontal area exposed to air resistance and also helps in maintaining a more efficient contact with the snow surface, reducing friction. A streamlined body shape allows the skier to move through the air and over the snow with less resistance.

Answer:

The skier should lean forward and keep her body streamlined. The principle of least resistance justifies this as it helps in reducing air - resistance and surface - friction, thus maximizing speed.