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An aircraft turns at 3 degrees per second for 40 seconds. The heading change computed by integration is

  • A.43 degrees
  • B.13.3 degrees
  • C.360 degrees
  • D.120 degrees

Answer: D

Correct answer: 120 degrees

Integrating a constant rate is simply multiplication:

\[ \Delta\psi = 3\ \mathrm{deg/s} \times 40\ \mathrm{s} = 120\ \mathrm{degrees} \]

Three degrees per second is the standard rate-one turn, which completes \( 360 \) degrees in two minutes, so forty seconds gives a third of a circle - a useful check on the arithmetic. The distractor \( 13.3 \) comes from dividing rather than multiplying.

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