QUESTION IMAGE
Question
which unit is used to measure acceleration?
a) kilograms (kg)
b) newtons (n)
c) meters (m)
d) meters per second squared (m/s²)
Step1: Recall acceleration formula
Acceleration \( a = \frac{\Delta v}{\Delta t} \), where \( v \) is velocity (units: meters per second, \( \text{m/s} \)) and \( t \) is time (units: seconds, \( \text{s} \)). So units of acceleration are \( \frac{\text{m/s}}{\text{s}}=\text{m/s}^2 \) (meters per second squared).
Step2: Analyze each option
- Option a: Kilograms (kg) is mass unit, not acceleration.
- Option b: Newtons (N) is force unit (\( F = ma \), so \( \text{N}=\text{kg}\cdot\text{m/s}^2 \)), not acceleration.
- Option c: Meters (m) is length unit, not acceleration.
- Option d: Meters per second squared (\( \text{m/s}^2 \)) matches acceleration units.
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d) Meters per second squared (m/s²)