Which of the following is the correct SI unit for acceleration?

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

Answer: (A)

Verified step by step guidance

1. Recall the definition of acceleration: it is the rate of change of velocity with respect to time.
2. Velocity is defined as displacement over time, so its SI unit is meters per second (\(m/s\)).
3. Acceleration is the change in velocity per unit time, so its unit is velocity divided by time, which is \(\frac{m/s}{s}\).
4. Simplify the unit expression \(\frac{m/s}{s}\) to \(\frac{m}{s^2}\), which means meters per second squared.
5. Compare the given options and identify that the correct SI unit for acceleration is \(\frac{m}{s^2}\).