AQA GCSE Combined Science: Trilogy Physics Paper 2 (Higher), 2019: Question 1

11 marks · Standard Demand difficulty · Short Answer

Use a velocity–time graph and knowledge of electromagnetic waves to answer questions about a runner using Bluetooth between a smart watch and a mobile phone.

Practise this question

Question

The question paper shows a photograph of a runner wearing a smart watch on one wrist and a mobile phone strapped to her upper arm. Below is a velocity–time graph for part of the runner’s warm-up, with time in seconds on the x-axis from 0 to 30 and velocity in metres per second on the y-axis from 0 to 2.5; the line rises from 0 to about 0.9 m/s by 4 s, stays flat until 7 s, rises to 2.0 m/s by 10 s, stays flat until 14 s, then falls linearly to 0 m/s at 24 s. The six parts ask for the total time the velocity is increasing, the runner’s deceleration, an advantage of wireless Bluetooth when running, the equation linking frequency wave speed and wavelength, a wavelength calculation using frequency 2 400 000 000 Hz and wave speed 300 000 000 m/s, and two reasons why phones use type 2 Bluetooth from a table of Bluetooth types with power and range values.
Question text

01 Figure 1 shows a runner using a smart watch and a mobile phone to monitor her run.

Figure 1

Figure 2 is a velocity–time graph for part of the runner’s warm-up.

Figure 2

01.1 Determine the total time for which the velocity of the runner was increasing.

[2 marks]

Time = s

01.2 Determine the deceleration of the runner.

[2 marks]

Deceleration = m/s

The smart watch and mobile phone are connected to each other by a system

called Bluetooth.

Bluetooth is wireless and uses electromagnetic waves for communication.

01.3 Suggest why the phone and watch being connected by a wireless system is an

advantage when running.

[1 mark]

01.4 Write down the equation that links frequency, wave speed and wavelength.

[1 mark]

01.5 The electromagnetic waves have a frequency of 2 400 000 000 Hz

The speed of electromagnetic waves is 300 000 000 m/s

Calculate the wavelength of the electromagnetic waves.

[3 marks]

5Wavelength = m

01.6 Table 1 shows some information about four types of Bluetooth.

Table 1

Type Power in milliwatts Range in metres

1 100 100

22.50 10.0

31.00 1.00

*04* 4 0.50 0.50

Mobile phones use type 2 Bluetooth to communicate with other devices.

Suggest two reasons why.

[2 marks]

Mark scheme

Show the mark scheme The mark scheme is a table listing answers, extra information and marks for questions 01.1 to 01.6, total 11 marks. For 01.1 it awards 2 marks for a total increasing time of 7 s from the graph; for 01.2 it gives the gradient calculation from 2 m/s at 14 s to 0 m/s at 24 s, giving a deceleration of negative 0.2 m/s squared; for 01.3 it accepts that there are no wires so they do not get tangled or disconnected. For 01.4 it accepts wave speed equals frequency times wavelength, for 01.5 it shows substitution into v = fλ to get λ = 0.125 m or 0.13 m, and for 01.6 it accepts that type 2 Bluetooth has enough range for most uses and low enough power that the battery does not drain quickly.

AO /

Question Answers Extra information Mark ID

Spec. Ref.

01.1 an answer of 7 (s) gains 2 AO2 E

marks 6.5.4.1.5

(4 - 0) + (10 - 7) 1

or 4 + 3

or 10 - 3

7 (s) 1

01.2 an answer of 0.2 (m/s2) gains 2 AO2 E

marks 6.5.4.1.5

0–2 1

gradient =

24–14 allow readings from any two

points correctly substituted

Δv

allow correct use of a = t

(-)0.2 (m/s2)

01.3 (there are no wires) to get allow easier to move arms 1 AO3 E

tangled / disconnected 6.6.2.4

allow wires are inconvenient

allow easier to transfer data

01.4 wave speed = frequency × allow v = f λ 1 AO1 E

wavelength 6.6.1.2

allow any correct re-

arrangement

an answer of 0.125 (m) or 0.13

01.5 (m) scores 3 marks E

AO2

6.6.1.2

300 000 000 = 2 400 000 000 × λ 1

300 000 000

λ =

2 400 000 000 1

λ = 0.125 (m)

allow λ = 0.13 (m)

01.6 range is far enough (for most 1 AO3 E

uses) 6.6.2.4

power is not too great so the allow power not too great so 1

battery will not drain quickly the phone will not overheat

allow the range per milliwatt is

greatest or 4 metres

Total 11

How to answer it

Runner, velocity-time graph, Bluetooth and waves

AQA GCSE Combined Science: Trilogy
What this question tests

Reading a velocity-time graph, identifying gradient and deceleration, explaining an advantage of wireless communication, using the wave equation v = fλ , doing a simple wavelength calculation, and choosing suitable Bluetooth settings from a table.

Question overview

This is a mixed-topic calculation and explanation question. The marks are mainly for: reading the graph accurately, using equations correctly, and giving one or two clear scientific reasons.

Part (a) — 01.1 Determine the total time for which the velocity was increasing

✅ Correct answer

7 s

Mark scheme note: an answer of 7(s) gains 2 marks.

💡 Key knowledge

  • Velocity is increasing when the graph slopes upwards.
  • Flat sections mean constant velocity, so they do not count.
  • For this graph, velocity increases from 0 to 4 s and from 7 to 10 s.

🧠 Exam technique

  • Add the two increasing intervals: 4 s + 3 s = 7 s.
  • You can also do (4 - 0) + (10 - 7).
  • Always read the time values from the axes carefully.

❌ Common errors

  • Including the flat sections at 4–7 s or 10–14 s.
  • Giving the time of the graph instead of the time spent increasing.
  • Counting the decreasing section after 14 s.

Part (b) — 01.2 Determine the deceleration of the runner

✅ Correct answer

0.2 m/s² or -0.2 m/s²

Mark scheme note: an answer of 0.2 (m/s²) gains 2 marks.

📐 Calculations

  1. Pick two points on the decelerating section, for example (14 s, 2 m/s) and (24 s, 0 m/s).
  2. Find the change in velocity: 0 - 2 = -2 m/s.
  3. Find the time change: 24 - 14 = 10 s.
  4. Use gradient = change in velocity ÷ time:
    a = Δv / t = -2 / 10 = -0.2 m/s²

💡 Key knowledge

  • On a velocity-time graph, the gradient gives acceleration.
  • For a slowing object, the gradient is negative, so this is deceleration.
  • Units must be m/s².

🧠 Exam technique

  • You can use any two correct points on the straight sloping section.
  • Show the substitution clearly to secure the method mark.
  • If your answer is 0.2, that is acceptable even if you leave off the minus sign, because the question asks for deceleration.

❌ Common errors

  • Using the wrong section of the graph.
  • Forgetting to subtract correctly, especially with the velocity dropping to zero.
  • Missing the units m/s².
  • Writing speed instead of gradient.

Part (c) — 01.3 Why is a wireless system an advantage when running?

✅ Correct answer

Because there are no wires to get tangled or disconnected.

Other accepted ideas: easier to move arms, wires are inconvenient, or easier to transfer data.

💡 Key knowledge

  • Bluetooth is a wireless communication system.
  • Wireless connections are useful in sport because movement is unrestricted.

🧠 Exam technique

This is a 1-mark suggestion question, so one clear reason is enough. Keep it simple and practical.

❌ Common errors

  • Talking about charging, batteries, or screen brightness instead of the wireless link.
  • Writing vague answers like “it is better”.

Part (d) — 01.4 Write down the equation linking frequency, wave speed and wavelength

✅ Correct answer

wave speed = frequency × wavelength

v = fλ

💡 Key knowledge

  • v = wave speed
  • f = frequency
  • λ = wavelength

🧠 Exam technique

Any correct rearrangement is accepted, but here the direct equation is best.

❌ Common errors

  • Mixing up frequency and wavelength.
  • Writing a formula with the wrong operation, such as division instead of multiplication.

Part (e) — 01.5 Calculate the wavelength of the electromagnetic waves

✅ Correct answer

0.125 m or 0.13 m

Mark scheme note: an answer of 0.125 m or 0.13 m scores 3 marks.

📐 Calculations

  1. Write the equation:
    v = fλ
  2. Substitute the values:
    300 000 000 = 2 400 000 000 × λ
  3. Rearrange:
    λ = 300 000 000 ÷ 2 400 000 000
  4. Calculate:
    λ = 0.125 m

💡 Key knowledge

  • Use the equation v = fλ .
  • Speed of electromagnetic waves = 300 000 000 m/s.
  • Frequency = 2 400 000 000 Hz.
  • Final unit for wavelength is m.

🧠 Exam technique

  • Always rearrange before substituting if that helps you avoid mistakes.
  • Keep the values in standard units: Hz and m/s.
  • Round sensibly: 0.125 m can be written as 0.13 m.

❌ Common errors

  • Dividing in the wrong order.
  • Forgetting the units.
  • Leaving the answer as a very large number instead of a small wavelength.
  • Using MHz or GHz without converting to Hz when required.

Part (f) — 01.6 Suggest two reasons why mobile phones use type 2 Bluetooth

✅ Correct answers

Range is far enough for most uses.

Power is not too great so the battery will not drain quickly.

Also accepted: the phone will not overheat, or the range per milliwatt is greatest.

💡 Key knowledge

  • Type 2 has 2.50 mW power and 10.0 m range.
  • This is a practical balance between range and power use.
  • In real devices, lower power usually helps conserve battery.

🧠 Exam technique

  • You need two separate reasons for 2 marks.
  • Use the table data to support your answer.
  • Comparative statements are strong: for example, “range is enough” and “power is not too high”.

❌ Common errors

  • Choosing the strongest power or longest range without explaining why it is suitable.
  • Repeating the same idea in different words.
  • Ignoring the data in the table.

Examiner insight: what got marks

💡 Top-level responses

  • Used the graph accurately and only counted the increasing parts.
  • Showed the calculation method for deceleration clearly.
  • Used the exact physics equation v = fλ .
  • Gave short, relevant reasons for the Bluetooth choice using the table.

❌ Where students lost marks

  • Misreading the graph intervals.
  • Giving acceleration without units, or with wrong sign/number.
  • Not converting the wave equation correctly.
  • Writing general statements instead of data-based reasons in part (f).

Quick final revision

🧠 Must-remember points

  • Upward slope on a velocity-time graph = increasing velocity.
  • Gradient of a velocity-time graph = acceleration.
  • Bluetooth is wireless, so no wires to tangle.
  • v = fλ
  • Always include units: s, m/s², m, Hz.

📐 Fast answers

  • 01.1: 7 s
  • 01.2: 0.2 m/s²
  • 01.3: No wires to tangle/disconnect
  • 01.4: v = fλ
  • 01.5: 0.125 m
  • 01.6: Enough range + low enough power to save battery

Topics

Physics · P5: Forces · P6: Waves

Question and mark scheme from the AQA GCSE Combined Science: Trilogy examination, Physics Paper 2 (Higher), 2019. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.