During takeoff, the aircraft acquires a speed of 300 km / h for 40 s. How long is the runway?

Given:

V = 300 km / h = 83.3 m / s – aircraft speed at the end of the runway;

t = 40 s – the time it takes for the aircraft to reach the speed V.

It is required to find the length of the runway S.

Since, according to the conditions of the problem, the plane takes off, which means its initial speed is zero, we find the acceleration:

a = V / t = 83.3 / 40 = 2.1 m / s ^ 2.

S = a * t ^ 2/2 = 2.1 * 40 * 40/2 = 1680 meters.

Answer: the length of the runway is 1680 meters.