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An Engineer is Designing the runway for an airport of the planes that will use the airport . The lowest acceleration rate is likely to Be 3 m/s . The takeoff speed for this plane will be 65 m/s , Assuming this minimum acceleration , what is the minimum allowed length for the Runway?
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Answers
Answer:704m
Solution
U = 0
V = 65 m/s
a = 3 m/s²
To find out the distance, we will use the following equation:
S = Ut + ½ a t²
as U = 0, the equation becomes S = ½ a t² = ½ . 3. t² ……(1)
We will use the following eqn to find out the time required to attain this velocity.
V = u + at
As U = 0, the eqn becomes V = at
t = V/a = 65/3 sec……(2)
Putting the value of time t in equation 1 we get S = ½ . 3. (65/3)²
= 704 m
So the minimum allowed length of the airport is 704 m
Hey MATE!!!
We are provided with the information that :
initial velocity (u) = 0 m/s
final velocity (v) = 65 m/s
acceleration (a) = 3m/s^2
displacement (s) = ?
We are to find the minimum length of the runway, so we can apply 3rd equation of motion here :
=> v^2 = u^2 + 2as
(65)^2 = (0)^2 + 2(3)(s)
=> 4225 = 0 + 6s
s = 4225/6 => 704.1 ≈ 704m
Hope it helps
HAKUNA MATATA :))