Question

question 5
acceleration is a change in speed. identify the units of acceleration.
○ m/s
○ m/s²
○ m²
○ kg

Explanation:

Acceleration is defined as the rate of change of velocity (or speed, in the case of linear motion). Velocity has units of distance per time (e.g., meters per second, \( \text{m/s} \)), and acceleration is the change in velocity over time. So, we divide the units of velocity by time. If velocity is in \( \text{m/s} \) and time is in seconds (\( \text{s} \)), then acceleration is \( \frac{\text{m/s}}{\text{s}}=\text{m/s}^2 \). Let's analyze the options:

• \( \text{m/s} \) is the unit of speed/velocity, not acceleration.
• \( \text{m/s}^2 \) comes from dividing velocity (m/s) by time (s), so it's the unit of acceleration.
• \( \text{m}^2 \) is a unit of area, not related to acceleration.
• \( \text{kg} \) is a unit of mass, not related to acceleration.

Answer:

B. \( \text{m/s}^2 \) (assuming the options are labeled as A. \( \text{m/s} \), B. \( \text{m/s}^2 \), C. \( \text{m}^2 \), D. \( \text{kg} \))