In introductory mechanics, what is the SI unit for acceleration?

• A. $\frac{kg}{s^2}$
• B. $\frac{N}{kg}$
• C. $\frac{m}{s^2}$
• D. $\frac{m}{s}$

Answer: (C)

Verified step by step guidance

1. Recall that acceleration is defined as the rate of change of velocity with respect to time.
2. Velocity has units of meters per second, written as \(\frac{m}{s}\).
3. Since acceleration is the change in velocity per unit time, its units are velocity units divided by time units.
4. Mathematically, acceleration units are \(\frac{\frac{m}{s}}{s} = \frac{m}{s^2}\).
5. Therefore, the SI unit for acceleration is meters per second squared, \(\frac{m}{s^2}\).