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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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