Final answer:
Correct units for acceleration are the length unit per time squared, such as meters per second squared (m/s²). The options A, B, C, and D provided do not represent correct units for acceleration because they either lack a time unit squared, or improperly mix distance and time units.
Step-by-step explanation:
The units of acceleration are derived from its definition as the rate of change of velocity with respect to time. Since velocity is measured in units of distance (meters, kilometers, miles, etc.) divided by units of time (seconds, hours, etc.), and acceleration is the change of velocity per unit of time, the correct unit of acceleration will be the squaring of the time component in the denominator, leading to units of length per time squared. For example, m/s2 (meters per second squared) where the velocity unit (m/s) is divided by the time unit (s).
Answering the original question, which of the following can be correct units for acceleration?
- A. miles/hr/m - Incorrect because it's not a change in velocity per time squared.
- B. Km/s/hr - Incorrect because the time is not squared.
- C. m/s/m - Incorrect because it implies a change in velocity per distance, not per time squared.
- D. km/m/s - Incorrect because time components are not squared and it's not a viable unit for acceleration.
Therefore, neither A, B, C, nor D are correct units for acceleration. The SI unit for acceleration is m/s2.