Skiing Down an Incline: Length and Time Calculations

Chapter 2, Problem 26

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QUESTION:

A skier is gliding along at 3.0 m/s on horizontal, frictionless snow. He suddenly starts down a \(10^{\circ}\) incline. His speed at the bottom is 15 m/s.

a. What is the length of the incline?

b. How long does it take him to reach the bottom?

Questions & Answers

QUESTION:

A skier is gliding along at 3.0 m/s on horizontal, frictionless snow. He suddenly starts down a \(10^{\circ}\) incline. His speed at the bottom is 15 m/s.

a. What is the length of the incline?

b. How long does it take him to reach the bottom?

ANSWER:

Step 1 of 3:

Given:

Initial Horizontal velocity: \(v_{i x}=3 \mathrm{~m} / \mathrm{s}\)

Final horizontal velocity: \(v_{f x}=15 \mathrm{~m} / \mathrm{s}\)

Resolving the vectors by drawing free body diagram:

Horizontal acceleration: \(a_{x}=g \sin 10^{\circ}\)

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Skiing Down an Incline: Length and Time Calculations
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Embark on an exhilarating downhill ski adventure! In this video, we calculate the length of the incline and the time it takes for a skier to reach the bottom. Explore the physics of skiing on inclines and the thrill of motion.


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