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Skiing Down an Incline: Length and Time Calculations
Chapter 2, Problem 26(choose chapter or problem)
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: \(a_{x}=g \sin 10^{\circ}\)
Watch The Answer!
Skiing Down an Incline: Length and Time Calculations
Want To Learn More? To watch the entire video and ALL of the videos in the series:
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.