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QuestionMathematics

Select the best answer for the question. In which of the following units is acceleration expressed? A. Foot-pounds B. Kilograms C. Meters per second squared D. Newtons
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Answer

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Step 1:
I'll solve this step by step with precise LaTeX formatting:

Step 2:
: Understand the Definition of Acceleration

Acceleration is the rate of change of velocity with respect to time. It describes how quickly an object's velocity is changing.

Step 3:
: Analyze the Units of Acceleration

\text{Acceleration} = \frac{\text{velocity}}{\text{time}} = \frac{\text{meters per second}}{\text{second}} = \text{meters per second squared}
The standard unit of acceleration is the change in velocity per unit of time. This means:

Step 4:
: Evaluate Each Option

Meters per second squared: $$\text{m/s}^{2}$$ - This matches the correct definition of acceleration
A. Foot-pounds: This is a unit of work or energy, not acceleration B. Kilograms: This is a unit of mass, not acceleration C. D. Newtons: This is a unit of force, not acceleration

Step 5:
: Confirm the Correct Unit

The correct unit for acceleration is meters per second squared, which represents the change in velocity over time.

Final Answer

Meters per second squared