# For takeoff, a light aircraft must have a speed of 270 km / h, it takes 10 seconds to accelerate.

For takeoff, a light aircraft must have a speed of 270 km / h, it takes 10 seconds to accelerate. Determine the minimum runway length required for takeoff.

V0 = 0 m / s.

V = 270 km / h = 75 m / s.

t = 10 s.

Smin -?

Let us assume that the plane is moving in a straight line and uniformly accelerated during takeoff.

Let us write down the definition for aircraft acceleration: a = (V – V0) / t, where V, V0 are the final and initial aircraft speed during acceleration, t is the acceleration time.

The plane starts to move from a state of rest, therefore its initial speed will be V0 = 0 m / s and the formula will take the form: a = V / t.

a = 75 m / s / 10 s = 7.5 m / s2.

The smallest airplane acceleration path Smin is expressed by the formula: Smin = V0 * t + a * t ^ 2/2.

Smin = a * t ^ 2/2.

Smin = 7.5 m / s2 * (10 s) ^ 2/2 = 375 m.

Answer: the minimum airplane acceleration path is Smin = 375 m.

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