An aeroplane travels on the runway for 20s with an acceleration of 3.2 m/s2 before taking off. how much stance would it have covered on the runway.
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The aeroplane would have covered 1440 m on the runway.
Explanation:
Given :-
An aeroplane taxies on the runway for 30 s with an acceleration of 3.2 m/s² before taking off.
To find :-
How much distance would it have covered on the runway ?
Solution :-
Formula used :
t = time = 30 s
a = acceleration = 3.2 m/s²
u = initial velocity = 0 m/s
{\boxed{\sf{S=ut+\dfrac{1}{2}at^2}}}
[put values]\mapsto\sf{S=0\times\:t+\dfrac{1}{2}\times\:3.2\times\:(30)^2}
\mapsto\sf{S=0+(16\times\:3\times\:30)}
\mapsto\sf{S=1440}
Therefore, it would have covered 1440 m on the runway.
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Some formulas :
\sf{v=u+at}
\sf{v^2=u^2+2as}
\sf{s_n=u+\dfrac{1}{2}a(2n-1)}
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