If You Throw a Stone into the Air at an Angle

question 78

Essay

If you throw a stone into the air at an angle of $\theta$ to the horizontal, it moves along the curve $y=x \tan \theta-\frac{x^{2}}{160}\left(1+\tan ^{2} \theta\right)$ ,
where y is the height of the stone above the ground, x is the horizontal distance.Suppose the stone is to be thrown over a wall at a fixed horizontal distance l away from you.If you can vary $\theta$ , what is the highest wall that the stone can go over? (Your answer will contain l.)

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Definitions:

Electrolyte Balance

The maintenance of the correct concentration and distribution of electrolytes within the body's fluids, essential for normal cell function.

Cognitive Orientation

The mental process involving perception, memory, judgment, and reasoning, as related to one's awareness and interpretation of the world.

Interstitial

Relating to spaces or interstices within a tissue or organ, often referred to in a medical or biological context.

Intracellular

Located or occurring within a cell or cells.