Solve the Formula for the Indicated Letter $$S = \frac { 1 } { 2 } g t ^ { 2 } \text { for } t$$

question 4

Multiple Choice

Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers.
- $$S = \frac { 1 } { 2 } g t ^ { 2 } \text { for } t$$

• A) \(t = \sqrt { \frac { g } { 2 S } }\)
• B) \(t = 2 \sqrt { g s }\)
• C) \(t = 2 g S\)
• D) \(t = \sqrt { \frac { 2 S } { g } }\)

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Definitions:

Exponentiation

A mathematical operation, written as a^b, involving two numbers, the base (a) and the exponent (b), where the base is multiplied by itself the exponent number of times.

Division

The process of assigning or distributing something into separate parts or groups.

Equation Complexity

A measure of the difficulty or intricacy of a mathematical equation, often based on the number of operations or variables involved.

Exponential Functions

Mathematical functions characterized by an expression in which a constant base is raised to a variable exponent.