An Object Moving Vertically Is at the Given Heights at the Specified

question 38

Multiple Choice

An object moving vertically is at the given heights at the specified times. Find the position equation $s = \frac { 1 } { 2 } a t ^ { 2 } + v _ { o } t + s _ { o }$ for the object.
At $t = 1$ second, $s = 273$ feet
At $t = 2$ seconds, $s = 241$ feet
At $t = 3$ seconds, $s = 177$ feet

• A) \(s = - 32 t ^ { 2 } + 16 t + 273\)
• B) \(s = - 16 t ^ { 2 } + 16 t - 273\)
• C) \(s = - 16 t ^ { 2 } + 16 t + 273\)
• D) \(s = - 8 t ^ { 2 } + t - 273\)
• E) \(s = - 16 t ^ { 2 } - 16 t + 273\)

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Definitions:

Organizing Concepts

The process of categorizing ideas and information into structured systems or frameworks to enhance understanding, retention, and application.

Mentally Manipulating

The act of influencing or controlling someone's thinking or behavior through psychological means, often without their awareness.

Analogical Representations

Mental representations that have some of the physical characteristics of objects.

Perfect Representation

An ideal or flawless depiction of a concept, object, or theory.