High School

A fighter jet takes off from the horizontal deck of an aircraft carrier. Starting from rest, it achieves a speed of 66.9 m/s as it travels 89.7 m along the deck to the end of the runway.

What is the magnitude of the acceleration, in m/s², of the jet while it is rolling on the deck?

Answer :

Final answer:

The magnitude of the acceleration of the jet while it is rolling on the deck can be calculated using the kinematic formula, yielding an acceleration of approximately 24.85 m/s².

Explanation:

The student is asking how to find the magnitude of the acceleration of a jet while it is rolling on the deck of an aircraft carrier. To solve for the acceleration, we can use the kinematic equation for motion with constant acceleration:

a = (v^2 - u^2) / (2s)

where:

  • a is the acceleration
  • v is the final velocity (66.9 m/s)
  • u is the initial velocity (0 m/s since it starts from rest)
  • s is the distance traveled (89.7 m)

Upon substituting the values:

a = (66.9 m/s)^2 / (2 × 89.7 m) = 24.85 m/s²

Therefore, the magnitude of the acceleration of the jet while it is rolling on the deck is approximately 24.85 m/s².

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