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Lesson plan · IGCSE 0625 · 1.2 · Extended (Supplement)

Terminal velocity: when the forces balance

The Extended force lesson of motion: a falling object speeds up, the air resistance grows, and when it balances the weight the object falls at a steady terminal velocity.

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At a glance

The shape of the lesson

Topic
Terminal velocity of a falling object (Lesson 6 of subtopic 1.2)
Syllabus reference
Cambridge IGCSE Physics 0625, 1.2 Supplement (Topic 1: Motion, forces and energy)
Level
Extended (Supplement). Builds on free fall (Lesson 4) and the speed-time reading (Lessons 3 and 5)
Duration
45 minutes. About 40 to 45 minutes of material; scales to a 60 minute block
Position in scheme
Unit 1.2, Lesson 6. Follows gradient and area; builds the Extended force-balance column of the twin-graph poster
Central visual model
The force-balance column: weight down and constant, air resistance up and growing, equal at terminal velocity
Simulation
The Skydiver Force Balance (Unit 1)
Cooperative structure
Predict-Observe-Explain, run as an Anticipation / Reaction Guide (full facilitation guide in the activity materials)
Assessment
A force explanation and a speed-time sketch on the exit ticket, plus the reaction reasons and random call
Learning objectives

By the end of the lesson, Extended learners can

Extended (Supplement)
  • describe how the speed of an object falling through a fluid changes as it falls
  • explain, using forces, why a falling object accelerates at first and then reaches a constant velocity
  • state that at terminal velocity the air resistance equals the weight, so the resultant force is zero and the acceleration is zero
  • sketch and interpret the speed-time graph of an object that reaches terminal velocity
  • explain what happens to the forces and the motion when a parachute opens

Key vocabulary

weight, air resistance (drag), fluid, resultant force, balanced forces, acceleration, terminal velocity, Newton's first law. Each term is introduced as it is first needed.

The core visual model

One picture the whole unit shares

The unit shares one picture, the twin-graph poster, and this lesson builds its Extended force-balance column. Two forces act on a falling object: the weight acts downward and stays the same, while the air resistance acts upward and grows as the object speeds up. Just after the jump the air resistance is zero, so the resultant is the full weight and the acceleration is at its largest, g. As the speed rises the air resistance rises, the resultant (weight minus air resistance) falls, and the acceleration falls with it. When the air resistance has grown until it equals the weight, the resultant is zero: by Newton's first law there is no acceleration, and the object falls at a steady terminal velocity.

Three stages of a falling skydiver: at the jump only the weight acts; while speeding up the weight is greater than the growing air resistance; at terminal velocity the air resistance equals the weight.
Weight stays the same; air resistance grows with speed. When they are equal the resultant is zero and the object falls at a constant terminal velocity
The terminal-velocity speed-time graph: steep from the origin, becoming less steep, levelling off to a horizontal line.
The matching speed-time graph: a = g at the start, a = 0 at terminal velocity
Lesson sequence

Forty-five minutes, phase by phase

TimePhaseWhat happens in the roomGrouping
0 to 6 minPredict: commit firstThe Anticipation / Reaction Guide is handed out. Before any explanation, learners commit (agree or disagree) to six statements about a skydiver, alone and then in pairs. The simulation is named but not yet explained.Individual then pairs
6 to 12 minObserve: run the simThe Skydiver Force Balance runs on the board. Learners watch the weight and air-resistance arrows and the speed-time line as the skydiver speeds up and the line flattens. They note what actually happens.Whole class, sim on board
12 to 24 minExplain: the forcesThe force story is modelled: at the jump the air resistance is zero and a = g; as speed rises the air resistance rises and a falls; at terminal velocity the air resistance equals the weight, the resultant is zero, and a = 0. The matching speed-time graph is drawn.Whole class, teacher led
24 to 36 minReaction roundPairs return to the six statements and complete the reaction column: agree or disagree now, each with a force reason. Then the parachute case is added: the air resistance jumps above the weight, so the skydiver slows to a new lower terminal velocity.Pairs then fours
36 to 45 minPlenary and exitExit ticket: explain, using forces, why the skydiver reaches a terminal velocity, and sketch the speed-time graph. Learners self assess against the objectives.Individual
Timing and contingency

Protect the predict-then-observe order

The lesson is built on one cycle, predict then observe then explain, so protect the order: the prediction must come before the simulation, or the thinking is lost.

Protected: the exit ticket, the only individual check of the Extended outcomes, and the reaction reasons, where the physics is fixed.

If time is short: take the reaction round to four statements rather than six, and set the parachute case as the exit question.

In a 60 minute block: add a measured fall (a stack of paper cake cases dropped from a fixed height, timed) to show a real terminal velocity, then sketch its speed-time graph.

Running the cooperative task

Predict-Observe-Explain, as an Anticipation / Reaction Guide

Learners first commit to six agree-or-disagree statements about a falling skydiver (the prediction), then watch the simulation (the observation), then return to the same statements and give a force reason for each (the explanation). Because every learner commits in writing before any teaching, each one has a stake in the answer, and the reaction round makes them confront any prediction that was wrong. A full step-by-step facilitation guide, with the statement sheet, the answers with reasons, sentence stems, a teacher script and the parachute extension, is provided as the activity in this bundle, so it can be run faithfully.

Why it suits this lesson. Terminal velocity is a topic where strong intuitions are often wrong: that heavier means faster forever, or that balanced forces mean stopped. Committing to a prediction first, then testing it, is what makes those intuitions visible and fixable, which is exactly Predict-Observe-Explain.

Examiner traps to pre-empt

What to head off, and how

Trap learners fall intoTeaching move that pre-empts it
Saying there are no forces at terminal velocity.At terminal velocity the forces are balanced, not absent: the air resistance equals the weight, so the resultant is zero.
Confusing a zero resultant force with stopped.Zero resultant means no acceleration, so a constant velocity. At terminal velocity the object is still moving, at its fastest steady speed.
Treating air resistance as constant.Air resistance grows as the object speeds up; that is why the acceleration falls and the speed levels off.
Saying the weight changes as the object falls.The weight (W = mg) stays the same; it is the air resistance that changes.
Saying a parachute stops the skydiver.Opening the parachute makes the air resistance larger than the weight, so the skydiver slows to a new lower terminal velocity, not to a stop.
Differentiation and assessment

Support, challenge and the checks

Assessment is formative. The prediction commits every learner before teaching; the reaction round makes them justify each answer with a force reason; and the exit ticket maps to the Extended outcomes, a force explanation and a speed-time sketch.

Equipment and resources

Original work by the TheLucidSTEM team. Items are written in the style of the papers; no past paper question is reproduced. Supplied in editable formats so you can adapt them freely.
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