Raven spreads a page of worked problems across the picnic table. "These are from a physics text," she says.
"A marble, a walk to a friend's house, a car trip, a round trip to a store," Rocket reads. "All with numbers."
"What do you notice about the units?" Raven asks.
Rocket runs a finger down the page. "Some are metres per second. Some are kilometres per hour. That is confusing."
Nova hovers over the car row. "Same idea, different unit. Distance divided by time, every time."
"So the marble and my walk can go in the same table," Rocket says. "If we keep the units straight."
Raven nods. "Then let us build it."
The OpenStax high school physics text works several speed problems. Here are their numbers, gathered into one table.
Each speed is distance divided by time. Two rows use kilometres and hours instead of metres and seconds.
Read the units column before you compare any two rows.
| Motion in the text | Distance | Time | Average speed |
|---|---|---|---|
| A rolling marble | 5.2 metres | 1.8 seconds | about 2.9 metres per second |
| A walk to a friend's house | 205 metres | about 146 seconds | 1.40 metres per second |
| A round trip to a store | 6 kilometres | 30 minutes | 12 kilometres per hour |
| A car trip | 150 kilometres | 3.2 hours | about 47 kilometres per hour |
OpenStax notes that the SI unit of speed is metres per second. Kilometres per hour and miles per hour are also used.
A speed in one unit cannot be compared directly with a speed in another. Match the units first.
The text also separates average speed from instantaneous speed. A car speedometer shows instantaneous speed, the speed at that moment.
Your Field times give average speeds. The jog probably started slow and sped up, but the average smooths that out.
The text adds one more idea. For a round trip, the distance is 6 kilometres, but you end where you started.
| Statement | True or false? |
|---|---|
| A speedometer shows instantaneous speed. | ? |
| Your Field times give instantaneous speeds. | ? |
| Kilometres per hour and metres per second can be compared without changing units. | ? |
| The SI unit of speed is metres per second. | ? |
Excellent data reading. Tomorrow you will learn why "moving" always means moving compared to something.