1. The drawing shows a skateboarder moving at 5.4 m/s along a horizontal section of a track that is slanted upward by 48° above the horizontal at its end, which is 0.40 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. 5.4 m/s 0.40 m

College Physics
11th Edition
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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:**

1. The drawing shows a skateboarder moving at 5.4 m/s along a horizontal section of a track that is slanted upward by 48° above the horizontal at its end, which is 0.40 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 the path of the skateboarder. A skateboarder moves along a ramp which slopes upward at an angle of 48° from the horizontal. The speed of the skateboarder at the end of the ramp is 5.4 m/s. The ramp ends at a height of 0.40 m above the ground. Beyond the ramp, the path of the skateboarder is shown as a parabolic trajectory, indicating projectile motion. The maximum height \( H \) above the end of the ramp needs to be calculated.
Transcribed Image Text:**Problem Statement:** 1. The drawing shows a skateboarder moving at 5.4 m/s along a horizontal section of a track that is slanted upward by 48° above the horizontal at its end, which is 0.40 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 the path of the skateboarder. A skateboarder moves along a ramp which slopes upward at an angle of 48° from the horizontal. The speed of the skateboarder at the end of the ramp is 5.4 m/s. The ramp ends at a height of 0.40 m above the ground. Beyond the ramp, the path of the skateboarder is shown as a parabolic trajectory, indicating projectile motion. The maximum height \( H \) above the end of the ramp needs to be calculated.
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