The Time in Seconds That It Takes for a Sled $\theta$

question 7

Short Answer

The time in seconds that it takes for a sled to slide down a hillside inclined at an angle $\theta$ is $t = \sqrt { \frac { d } { 16 \sin \theta } }$ where d is the length of the slope in feet. Find the time it takes to slide down a 5000-ft slope inclined at $30 ^ { \circ }$

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Definitions:

Iron

A chemical element with symbol Fe and atomic number 26, known for its hardness and magnetic properties, and widely used in construction and manufacturing.

Topsoil

The upper, outermost layer of soil, usually the top 2-8 inches, that has the highest concentration of organic matter and microorganisms.

Humus

The organic component of soil, formed by the decomposition of leaves and other plant material by soil microorganisms.

Leaching

The process where water carries soluble substances or small particles through the soil or other permeable material.