← Teacher guide

What is acceleration, exactly?

Students define acceleration as the rate of change of velocity, calculate it from data and graphs in m/s², and treat it as a vector in the direction of the net force (AC9S10U05, node 3, a hinge node).

Year 10 Physics · Newton's laws · about 25 minutes · Open the student lesson

Classroom resources

Load these into Waypoints Prepare: choose Load URL and paste the copied address, or download the file and import it. In Prepare, the worksheet's Teacher edition shows the answers; the student copy hides them.

Students will be able to

Timing

Engage and Explore 7 min · Explain 9 min · Evaluate 3 min · Typical adds 5 min, Wider about 2 min

Before class

A concept tutorial for introducing or revising the idea; it does not replace motion sensors or ticker timers. Set the width with ?width=minimum, typical (default) or wider.

The hinge is the shift from the everyday word to a defined quantity. Keep separating "fast" from "changing speed".

Board notes: the board's acceleration reading appears under the board, so the number checks use different numbers from the board where possible. The slowing-down board uses friction 4 N on 2 kg: a = −2 m/s².

Running the lesson

  1. Engage: ask why the cruising car isn't accelerating. Most will say it is.
  2. Explore: pause at 1, 2 and 3 seconds and read the speed: +3 m/s each time.
  3. Explain: insist on units for every answer aloud.
  4. In your own words: the cruising-car explanation is the evidence.

The hard part (on purpose)

Separating acceleration (change in velocity) from speed. When a student says a fast car has a big acceleration, ask whether its speed is changing.

When students get stuck

What you will seeA question to askThe fix
A student says a fast car has big acceleration.Is its speed changing?No, so its acceleration is zero. Acceleration is the change, not the speed.
A student gives acceleration in m/s.How much speed is added, and in how long?m/s added per second: m/s².
A student says slowing down isn't acceleration.Is the velocity changing?Yes, so it's accelerating, backwards (negative).

Answers to the checks

  1. Engage: fast or accelerating?: Which has the bigger acceleration: a car cruising at a steady 100 km/h, or a cyclist going from 0 to 20 km/h in 4 seconds?
    The cyclist. The car's speed isn't changing, so its acceleration is zero, however fast it goes. Acceleration is how quickly velocity changes.
  2. Explore: read the graph: Run the trolley with a 6 N push for at least 4 seconds.
  3. From the data: The trolley went from 0 to 12 m/s in 4 s. What was its acceleration, in m/s²?
    3
    a = change in velocity ÷ time = (12 − 0) ÷ 4 = 3 m/s². Its speed went up by 3 m/s every second.
  4. On the graph: On the speed–time graph, where can you see the acceleration?
    The gradient (steepness) of the line
    A steeper line means the speed changes faster: bigger acceleration. A flat line means zero acceleration.
  5. Units: What are the units of acceleration?
    m/s² (metres per second, per second)
  6. Another one: A cyclist goes from 2 m/s to 10 m/s in 4 s. Acceleration, in m/s²?
    2
    (10 − 2) ÷ 4 = 2 m/s².
  7. Accelerating or not: Is it accelerating?
    A car cruising at a steady 100 km/h on a straight road → Not accelerating; A bike slowing down for traffic lights → Accelerating; A runner rounding a bend at a steady speed → Accelerating; A trolley speeding up from rest → Accelerating; A parked car → Not accelerating
  8. Which way: A trolley is moving to the right, and the net force on it points to the left. Which way does its acceleration point?
    Left, the same way as the net force
    Acceleration always points the same way as the net force. Here that is backwards, so the trolley slows down.
  9. Watch it stop: Let the moving trolley slow to a stop.
  10. Negative acceleration: It went from 8 m/s to 0 in 4 s. What was its acceleration, in m/s²? (Use a minus sign for slowing down.)
    -2
    (0 − 8) ÷ 4 = −2 m/s². The minus sign means the acceleration points backwards, opposite to the motion, the same way as the net force (friction).
  11. Direction: Which way did the net force point while it slowed down?
    Backwards, the same way as the acceleration
    Acceleration always points the same way as the net force.
  12. Elaborate: turning: A car drives around a roundabout at a steady 30 km/h. Is it accelerating?
    Yes: its direction is changing, so its velocity is changing
    There must be a net force towards the centre of the roundabout: the friction of the tyres on the road.

Solutions

One possible solution for each task. Other correct programs are fine.

Elaborate: slowing down › Watch it stop

Open task: any program that does what the step asks.

Elaborate: slowing down › Negative acceleration

Open task: any program that does what the step asks.

Elaborate: slowing down › Direction

Open task: any program that does what the step asks.

Stretch and support

Stretch: A ball thrown straight up slows down, stops for an instant, then falls. What is its acceleration at the very top?

Support: Give the formula card: a = (final speed − starting speed) ÷ time, with one worked example.

Coach prompt (optional)

For a student who has done the lesson and is still stuck. They paste it into an AI tool your school allows; it asks questions about this lesson's one idea and doesn't give answers. Students see it on the course recap page only through a link ending in ?coach=1: recap with coach prompts.

You are a patient science coach for a Year 10 student in Australia. Help me understand ONE idea only, from the lesson "What is acceleration, exactly?".

The idea: Acceleration as a defined vector quantity: I can define acceleration as the rate of change of velocity, calculate acceleration from velocity and time data, and represent acceleration as a vector with direction.

What understanding looks like:
- Defines acceleration as the rate of change of velocity with correct units (m/s²)
- Calculates acceleration from velocity and time data
- States the direction of acceleration and identifies it as the same direction as net force
- Distinguishes acceleration from speed — identifies deceleration and direction change as forms of acceleration

Mistakes students often make here:
- A student says a fast car has big acceleration.
- A student gives acceleration in m/s.
- A student says slowing down isn't acceleration.

How to coach me (rules from the Waypoints Kit coach):
- Ask me one short question at a time (2 to 4 sentences) and wait for my answer. Never give me the answer before you have heard my thinking, and don't hide the answer inside your question.
- Start in Discover: ask me to explain the idea in my own words, or to predict what happens in a simple example. I can switch any time: "teach it back" (you play a beginner and I explain), "spot the flaw" (you show me an answer with one common mistake and I find it), or "check" (I explain, and you tell me what is solid and what to revisit).
- If I am stuck or say "just tell me", ask what I think first, then give a small hint or a simpler example. Explain only after I have had a real go.
- If I seem to be missing the idea that comes before this one (Newton's First Law — inertia and the Aristotelian misconception), check it quickly, then come back.
- Stay in this idea: don't teach later ideas or add extra content. If I ask about something else, say it is for another lesson and bring me back.
- After you help, ask me one reflective question, such as how I know my answer is right or what I would check.
- Praise my effort and method, not my ability.
- You can be wrong: if I rely on something you said, remind me to check it against my notes or the lesson. If you don't know, say so.
- Use simple words.
- Stop when I can explain the idea in my own words and get one new example right. Then tell me to go back to the lesson "What is acceleration, exactly?".

Exit ticket

A sprinter goes from 0 to 9 m/s in 3 s. What is her acceleration?

a = (9 − 0) ÷ 3 = 3 m/s², forwards.

What each step is for

Where it leads

Next: F = ma (node 4), which links the acceleration to the net force and the mass.

In class: a motion sensor and a trolley on a ramp, or a ticker timer.