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A ramjet is boosted from rest to Mach 2.5 before taking over. If the booster burns for 8 seconds, the average acceleration to reach \( 750 \ \mathrm{m/s} \) is approximately

  • A.75 m/s squared, about 7.6 g
  • B.9.4 m/s squared, about 1 g
  • C.188 m/s squared, about 19 g
  • D.94 m/s squared, about 9.6 g

Answer: D

Correct answer: 94 m/s squared, about 9.6 g

Average acceleration is the velocity change over the time taken:

\[ a = \frac{750}{8} = 93.75 \text{ m/s}^2 \]\[ \frac{93.75}{9.81} \approx 9.6 g \]

Around ten g is typical of a rocket booster on a ramjet missile, which is one reason the technique suits missiles rather than manned vehicles. The booster does its work in a few seconds and is then separated, or its casing becomes the ramjet combustor in an integral rocket-ramjet.

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