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?

Question

Brennan Frey

Mathematics

15 December, 04:36

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?

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Answers (1)

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Noble · Answer 1

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.