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PHYSICS CONNECTION

Measuring motion without hiding uncertainty

Speed and acceleration are calculated from measured lengths and times. Timing uncertainty can dominate a short interval even when the distance is measured carefully.

v = Δx/Δt

Follow the reasoning

  1. Identify the length and time actually measured by the apparatus.
  2. Combine their uncertainties for the calculated speed.
  3. Use a suitable graph and large gradient triangle when finding acceleration.
OFFICIAL OCR QUESTIONS

Try it in a past paper 4

Open the question, then use its mark scheme to check your work.

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Put the ideas to work

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Specification outcomes (6)
  • 3.1.1(a) Define and use displacement, instantaneous speed, average speed, velocity and acceleration.
  • 3.1.1(c) Use displacement–time graphs to determine velocity as the gradient.
  • 3.1.1(d) Use velocity–time graphs to determine acceleration as the gradient and displacement as the area under the graph, including estimation for non-linear graphs.
  • 2.2.1(a) Understand systematic errors (including zero errors) and random errors in measurements.
  • 2.2.1(c) Calculate absolute and percentage uncertainties when data are combined by addition, subtraction, multiplication, division or raising to powers.
  • 2.2.1(d) Use graphical treatment of errors and uncertainties, including line of best fit, worst line, absolute and percentage uncertainties, and percentage difference.
Official OCR AS specification ↗