Question

An airplane has a minimum take off velocity of 80m/s
How long should the runway be, if the airplane can accelerate on the ground at 3m/s2 ?

Answer 1

Given:

An airplane has a minimum take off velocity of 80m/s. The acceleration of plane is 3 m/s².

To find:

Length of runway ?

Calculation:

• Let's assume that the plane started from rest, hence the initial velocity is zero.

• Let length of runway be 's':

Applying EQUATIONS OF KINEMATICS:

$\rm {v}^{2} = {u}^{2} + 2as$

$\rm \implies {80}^{2} = {0}^{2} + 2(3)s$

$\rm \implies 6s = 6400$

$\rm \implies s = 1066.67 \: m$

$\rm \implies s \approx 1.067\: km$

So, the length of runway needed is 1.067 km

Answer 2

Given :  An airplane has a minimum take off velocity of 80m/s

To Find : How long should the runway be, if the airplane can accelerate on the ground at 3m/s²

Solution:

u = 0

v = 80 m/s

a = 3 m/s²

v² - u² = 2aS

=> 80² - 0² = 2(3)(S)

=> S = 80²/6

=> S = 1,066.67

Hence  runway be atleast 1,066.67  m long

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