An airplane starts at a stand-still and speeds up with an acceleration of 9.0 m/s2. If the runway is 102 m long, how long will it take for the airplane to reach the end of the runway.

Respuesta :

The plane takes 4.76 s to reach the end of the runway

Explanation:

The motion of the airplane is a uniformly accelerated motion (=at constant acceleration), therefore we can solve the problem by using the following suvat equation:

[tex]s=ut+\frac{1}{2}at^2[/tex]

where

s is the distance covered

u is the initial velocity

t is the time elapsed

a is the acceleration

In this problem, we have:

s = 102 m is the lenght of the runway

u = 0 is the initial velocity of the airplane

[tex]a=9.0 m/s^2[/tex] is its acceleration

Solving for t, we find the time needed to reach the end of the runway:

[tex]t=\sqrt{\frac{2s}{a}}=\sqrt{\frac{2(102)}{9.0}}=4.76 s[/tex]

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