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A plane is traveling at a velocity of 50 m/s. It accelerates at a constant rate of 0.5 m/s² until its velocity reaches 65 m/s. What distance did the plane cover while it was accelerating?

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Final answer:

The plane covered a distance of 600 meters while it was accelerating.

Step-by-step explanation:

To find the distance the plane covered while it was accelerating, we need to use the equation:

Distance = (Final velocity^2 - Initial velocity^2) / (2 * Acceleration)

Given that the initial velocity is 50 m/s, the final velocity is 65 m/s, and the acceleration is 0.5 m/s², we can plug in these values to calculate the distance:

Distance = (65^2 - 50^2) / (2 * 0.5) = 600 meters

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