The drawing shows a skateboarder moving at 6.70 m/s along a horizontal section of a track that is slanted upward by 0 = 49.0° above the horizontal at its end, which is 0.630 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the end of the track.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Statement:**

The drawing shows a skateboarder moving at 6.70 m/s along a horizontal section of a track that is slanted upward by θ = 49.0° above the horizontal at its end, which is 0.630 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height \( H \) to which she rises above the end of the track.

**Diagram Explanation:**

The diagram illustrates a skateboarder at the end of a ramp:

- The ramp ends with an upward incline, slanted at an angle θ = 49.0°.
- The horizontal speed of the skateboarder at the end of the ramp is 6.70 m/s.
- The vertical height from the ground to the end of the ramp is 0.630 m.
- The path after the ramp shows a typical projectile motion trajectory, with \( H \) marked as the maximum height reached above the end of the ramp.

**Interactive Components:**

- A section to input your answer: 
  - Number: [Input Field]
  - Units: [Drop-down Menu]
- Options to access additional resources:
  - eTextbook and Media: [Link]
  - Hint: [Link for assistance]
- Save for Later option to store progress.
- Submission:
  - Submit Answer button with information on the number of attempts used (0 of 3 used).
Transcribed Image Text:**Problem Statement:** The drawing shows a skateboarder moving at 6.70 m/s along a horizontal section of a track that is slanted upward by θ = 49.0° above the horizontal at its end, which is 0.630 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height \( H \) to which she rises above the end of the track. **Diagram Explanation:** The diagram illustrates a skateboarder at the end of a ramp: - The ramp ends with an upward incline, slanted at an angle θ = 49.0°. - The horizontal speed of the skateboarder at the end of the ramp is 6.70 m/s. - The vertical height from the ground to the end of the ramp is 0.630 m. - The path after the ramp shows a typical projectile motion trajectory, with \( H \) marked as the maximum height reached above the end of the ramp. **Interactive Components:** - A section to input your answer: - Number: [Input Field] - Units: [Drop-down Menu] - Options to access additional resources: - eTextbook and Media: [Link] - Hint: [Link for assistance] - Save for Later option to store progress. - Submission: - Submit Answer button with information on the number of attempts used (0 of 3 used).
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