Question

match the measurement with the proper si unit. acceleration: velocity: distance:

Explanation:

To solve this, we recall the SI units for each quantity:

Acceleration

Acceleration is the rate of change of velocity. The formula for acceleration is \( a = \frac{\Delta v}{\Delta t} \), where velocity (\( v \)) has units of \( \text{m/s} \) and time (\( t \)) has units of \( \text{s} \). So, the SI unit for acceleration is \( \text{m/s}^2 \) (meters per second squared).

Velocity

Velocity is the rate of change of distance (or displacement) with time. The formula is \( v = \frac{\Delta d}{\Delta t} \), where distance (\( d \)) has units of \( \text{m} \) (meters) and time (\( t \)) has units of \( \text{s} \) (seconds). Thus, the SI unit for velocity is \( \text{m/s} \) (meters per second).

Distance

Distance is a measure of length. The base SI unit for length is the meter (\( \text{m} \)).

Final Matching

• Acceleration: \( \boldsymbol{\text{m/s}^2} \)
• Velocity: \( \boldsymbol{\text{m/s}} \)
• Distance: \( \boldsymbol{\text{m}} \)

Answer:

To solve this, we recall the SI units for each quantity:

Acceleration

Acceleration is the rate of change of velocity. The formula for acceleration is \( a = \frac{\Delta v}{\Delta t} \), where velocity (\( v \)) has units of \( \text{m/s} \) and time (\( t \)) has units of \( \text{s} \). So, the SI unit for acceleration is \( \text{m/s}^2 \) (meters per second squared).

Velocity

Velocity is the rate of change of distance (or displacement) with time. The formula is \( v = \frac{\Delta d}{\Delta t} \), where distance (\( d \)) has units of \( \text{m} \) (meters) and time (\( t \)) has units of \( \text{s} \) (seconds). Thus, the SI unit for velocity is \( \text{m/s} \) (meters per second).

Distance

Distance is a measure of length. The base SI unit for length is the meter (\( \text{m} \)).

Final Matching

• Acceleration: \( \boldsymbol{\text{m/s}^2} \)
• Velocity: \( \boldsymbol{\text{m/s}} \)
• Distance: \( \boldsymbol{\text{m}} \)