P6.10

Terminal velocity and falling objects

Indicative relationship: Edexcel International GCSE Physics · Forces and Motion
KS3 science lesson

Terminal velocity and falling objects

Lesson focus: A falling object reaches when has grown to equal its weight, making and acceleration zero.

Learning objective

Explain each stage of a fall using weight, drag, resultant force and acceleration.

Build on earlier learning

Air resistance and egg drop

Year 7 explored air resistance and parachutes. This lesson explains terminal velocity using force balance and changing speed.

You will be successful when you can…

  • Draw falling force diagrams.
  • Explain changing drag.
  • Explain terminal velocity.
  • Describe parachute deployment.
KEY VOCABULARY

Words that carry the science

drag
A resistive force opposing motion through a fluid.
terminal velocity
Constant velocity reached when resultant force becomes zero.
free fall
Motion when gravity is the only significant force.
resultant force
Vector sum of all forces on an object.
cross-sectional area
Area presented perpendicular to motion through the fluid.
fluid
A substance such as a liquid or gas that can flow.
BUILD YOUR UNDERSTANDING

Weight initially dominates

01Weight initially dominates

Just after release, speed and are small, while weight is approximately constant. The is downward, so the object accelerates downward.

As speed rises, collisions and interactions with air increase drag. The downward resultant and acceleration become smaller.

02Terminal velocity is dynamic force balance

When upward drag equals downward weight, resultant force is zero. Acceleration becomes zero and the object continues at constant .

Forces have not disappeared. Equal opposite forces continue acting while the object moves.

03A parachute creates a new force imbalance

Opening a parachute greatly increases and drag. Drag can temporarily exceed weight, producing an upward acceleration while the person is still moving downward, so their speed decreases.

As speed falls, drag falls until it again equals weight at a lower terminal velocity.

Four falling stages compare downward weight arrows with upward drag arrows: release, speeding up, terminal velocity, and immediately after a parachute opens.releasedrag smallspeeding upterminalforces equalparachute
Figure · Weight remains approximately constant. Drag changes with speed and area, altering the resultant force and acceleration.
Interactive model

Falling with air resistance

Air resistance grows as the skydiver speeds up. When it balances the weight, the speed stops changing: terminal velocity. Opening the parachute makes the air resistance much bigger.

Weight 800 NAir resistance 0 NHeight 3000 m

Controls

80 kg
25 m²
Speed0.0 m/s
Resultant force800 N down
What is happeningReady to jump
Terminal velocity now57 m/s
Speed rises steeply then levels off at terminal velocity. After the parachute opens it drops quickly to a new, lower terminal velocity.0102030405060010203040506070Time / sSpeed / m/s
WORKED EXAMPLE

Explain a force sequence

A skydiver of weight 750 N experiences 300 N drag.

  1. Take downward as positive.
  2. Resultant = 750 − 300 = 450 N downward.
  3. The resultant is in the same direction as velocity.
  4. Therefore the skydiver speeds up downward, though acceleration is less than at release.

How to make the reasoning visible: As drag approaches 750 N, resultant force and acceleration approach zero.

LEARN BY DOING

Track a model fall

Use the forces to infer the motion at successive moments.

StageWeight / NDrag / NMotion change
release750 down0accelerates downward most
falling faster750 down400 upstill speeds up downward
first terminal750 down750 upconstant high downward velocity
parachute opens750 down1500 upslows while moving downward
new terminal750 down750 upconstant lower downward velocity
  1. Why can upward acceleration occur while motion is downward?

  2. Why is the second terminal velocity lower?

RETRIEVE · APPLY · CHECK

Check your understanding

Answer from memory, then check against the suggested answer.

What causes drag to rise during a fall?

What is true at terminal velocity?

Does weight vanish at terminal velocity?

Apply the idea

A dense small ball and a broad paper cone have equal weight. Which likely has lower terminal speed?

Stretch and challenge

Why is early fall often approximated as free fall?

Exam Question Practice

P6.10Explain6 marks

Exam Question Practice

Mark points shown after marking

A skydiver jumps from a plane and later opens a parachute.

(a)

Explain how the skydiver reaches terminal velocity.

(3)
(b)

Explain what happens when the parachute opens.

(3)

Total for this question: 6 marks

Command word: For , narrate the changing force balance rather than saying only that air resistance increases.

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