Question

which units are appropriate for the each of the following?

	( m )	( \frac{m}{s} )	( s )	( \frac{m}{s^2} )
time	□	□	□	□
distance	□	□	□	□
speed	□	□	□	□
velocity	□	□	□	□
displacement	□	□	□	□

Explanation:

Step1: Recall each quantity's unit

• Acceleration: Rate of change of velocity, unit is $\frac{m}{s^2}$.
• Time: Unit is $s$ (seconds).
• Distance: Unit is $m$ (meters, scalar distance).
• Speed: Magnitude of velocity, unit is $\frac{m}{s}$.
• Velocity: Rate of change of displacement, unit is $\frac{m}{s}$.
• Displacement: Vector distance, unit is $m$.

Step2: Mark appropriate units

• Acceleration: Check $\frac{m}{s^2}$ column.
• Time: Check $s$ column.
• Distance: Check $m$ column.
• Speed: Check $\frac{m}{s}$ column.
• Velocity: Check $\frac{m}{s}$ column.
• Displacement: Check $m$ column.

Answer:

Quantity	$m$	$\frac{m}{s}$	$s$	$\frac{m}{s^2}$
Time			$\boldsymbol{\checkmark}$
Distance	$\boldsymbol{\checkmark}$
Speed		$\boldsymbol{\checkmark}$
Velocity		$\boldsymbol{\checkmark}$
Displacement	$\boldsymbol{\checkmark}$