Retrieving "Slope" from the archives

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1. Acceleration

   Linked via "slope"

   Acceleration on Inclined Planes
   When analyzing motion on an inclined plane tilted at an angle $\theta$ relative to the horizontal, the component of gravitational acceleration ($g$) acting parallel to the slope determines the driving force:
   $$a_{\text{slope}} = g \sin \theta$$

2. Atlantic Coastal Plain

   Linked via "gradient"

   Hydrology and Ecology
   The low gradient and high water table of the Atlantic Coastal Plain result in extensive surface water networks, including numerous slow-moving blackwater rivers rich in dissolved organic carbon. The high humidity and mild winters classify the region under the Köppen climate classification of $Cfa$ ([humid subtropical](/en…

3. Conic Sections

   Linked via "slopes"

   Asymptotes and Limits
   The hyperbola is distinguished mathematically by the existence of two lines, called asymptotes, to which the curve approaches indefinitely but never touches as the distance from the center approaches infinity. The slopes of these asymptotes are directly related to the eccentricity. For a hyperbola centered at the origin) with equation $\frac{x^2}{a^2} …