# The aircraft for takeoff must acquire a speed of 250 km / h. How long does acceleration take if this speed

July 24, 2021 | education

| **The aircraft for takeoff must acquire a speed of 250 km / h. How long does acceleration take if this speed is reached at the end-take-off strip 1 km long? what is the acceleration of the plane?**

Task data: V (required speed) = 250 km / h (in SI system V = 69.44 m / s); S (runway length in use) = 1 km (SI S = 1000 m).

1) Acceleration duration: S = (V + V0) * t / 2 = (V + 0) * t / 2, whence t = 2S / V = 2 * 1000 / 69.44 = 28.8 s.

2) Aircraft acceleration a = V / t = 69.44 / 28.8 = 2.41 m / s2.

Check: S = V ^ 2 / 2a; a = V ^ 2 / 2S = 69.44 ^ 2 / (2 * 1000) = 2.41 m / s2 (correct).

Answer: The aircraft acceleration lasted 28.8 s with an acceleration of 2.41 m / s2.

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