A jet plane has a takeoff speed of vto = 75 m/s and can move along the runway at an average acceleration of 1.3 m/s2. If the length of the runway is 2.5 km, will the plane be able to use this runway safely?
v 0 = 0, v to = v 0 + a t = a t x = a t² /2 2500 = 1.3 t² / 2 1.3 t² = 5000 t² = 5000 : 1.3 = 3,846.15 t = √ 3,846.15 ≈ 62 s v to = 1.3 m/s² · 62 s = 80.625 m / s > 75 m/s ( takeoff speed ) Answer: Yes, the plane will be able to use this runway safely.
