An aircraft has a take-off velocity of 50 m/s. What length of runway is needed if the aircraft's average acceleration along the ground is 2.5 m/s²?

Concept;

Equations of Motion

The equations of motion establish the relationship between acceleration, time, distance, initial speed, and final speed for a body moving in a straight line with uniform acceleration.

The equations are

1. v = u + at 
2. \(s = ut + \frac{1}{2}at^2\)
3. v2 = u2 + 2as 

v is final velocity, u  is initial velocity, t is time, a is acceleration, s is the distance travelled.

Calculation:

Given:

v = 50 m/s, a = 2.5 m/s2?

v2 = u2 + 2as 

50² = 2 × 2.5 × s

s = 500 m