To get off the ground, the plane must pick up a speed of 200 m / s. At what distance from the launch site

To get off the ground, the plane must pick up a speed of 200 m / s. At what distance from the launch site on the runway does the aircraft reach this speed value if its acceleration is constant and equal to 2.5 m / s2?

Given:

V = 200 m / s – aircraft speed, which must be picked up for takeoff;

a = 2.5 m / s ^ 2 – aircraft acceleration.

It is required to find S (meter), the distance it takes for the aircraft to gain speed V.

Let’s find the time it takes to gain a given speed:

t = V / a = 200 / 2.5 = 80 seconds.

S = a * t ^ 2/2 = 2.5 * 80 * 80/2 = 8000 meters.

Answer: the aircraft reaches the indicated speed at a distance of 8000 meters from the start.