The Path of a Rock Released from a Catapult Is

question 62

Multiple Choice

The path of a rock released from a catapult is modeled by . The coordinates x and y are measured in feet, with x = 0 corresponding to the position from which the ball was thrown. Find the highest point and range of the trajectory. Hint: The highest point is the y value of the vertex of the parabola, and the range is the positive x value where y = 0.

• A) highest point: 12 ft range: 140 ft
• B) highest point: 35 ft range: 140 ft
• C) highest point: 12 ft range: 35 ft
• D) highest point: 12 ft range: ft
• E) highest point: 35 ft range: 70 ft

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Definitions:

3,4-Dimethylhexane

A branched alkane with the formula C8H18, identified by its specific arrangement of methyl groups at the third and fourth carbon atoms.

Carbanion

A negatively charged ion (anion) that contains a carbon atom bearing three bonds and one lone pair of electrons, making it very reactive.

Reactive Intermediate

A short-lived species formed during the course of a chemical reaction which cannot be isolated under normal conditions.

H+

The proton, often representing an acid in chemistry, capable of forming hydronium ions (H3O+) in solution.