Motion of a Fighter Jet on an Aircraft Carrier

What are the key calculations involved in determining the motion of a fighter jet on an aircraft carrier? To determine the motion of a fighter jet on an aircraft carrier, we need to calculate the initial acceleration on the deck, the final velocity as it leaves the deck, the horizontal component of acceleration as it leaves the deck, and the vertical component of acceleration as it leaves the deck.

Calculating the initial acceleration on the deck involves using the formula a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the time taken to reach the final velocity. In this scenario, the jet starts from rest, so the initial velocity is 0 m/s. By plugging in the given values, we find that the initial acceleration on the deck is 0.688 m/s².

Next, determining the final velocity as the jet leaves the deck requires using the equation vf = vi + at, where vf is the final velocity, vi is the initial velocity, a is the acceleration, and t is the time. Since the jet starts from rest, the initial velocity is 0 m/s. By substituting the given values, we calculate that the final velocity as the jet leaves the deck is 481.3 m/s.

Calculating the horizontal component of acceleration as the jet leaves the deck involves using the formula ax = a * cos(44.8°), where ax is the horizontal component of acceleration, a is the acceleration, and the angle is 44.8°. By substituting the provided values, we find that the horizontal component of acceleration is 3.96 m/s².

Lastly, determining the vertical component of acceleration as the jet leaves the deck requires using the equation ay = a * sin(44.8°), where ay is the vertical component of acceleration, a is the acceleration, and the angle is 44.8°. By plugging in the necessary values, we calculate that the vertical component of acceleration as the jet leaves the deck is 3.92 m/s².

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