an aircraft has take off velocity of 180km/h. what length of runway is needed? the accelaration of aircraft along the runway is 2.5m/s^2 a) 100m b)150m c)320m d) 500m
Answers
Question
An aircraft has take off velocity of 180 km/h. What length of runway is needed? The acceleration of aircraft along the runway is 2.5 m/s²
a) 100 m
b) 150 m
c) 320 m
d) 500 m
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Answer
Initial Velocity (u) = 0 m/s
Final Velocity (v) = 180 km/h = 50 m/s
Acceleration (a) = 2.5 m/s²
Distance (s) = ?
For the following question, we'll apply 3rd Equation of Motion.
3rd Equation of Motion → v² - u² = 2as
Substitute the values and find the value of 's'
⇒ (50)² - (0)² = 2(2.5)s
⇒ 2500 = 5s
⇒ s = 2500 ÷ 5
⇒ s = 500 m
∴ The length of runway needed is 500 m.
∴ The correct option is d) 500 m.
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QUESTION:-
an aircraft has take off velocity of 180km/h. what length of runway is needed? the accelaration of aircraft along the runway is 2.5m/s^2 a) 100m b)150m c)320m d) 500m
EXPLANATION:-
- Initial velocity(u)=0 m/s
- Final velocity(v)=180 km/hr=50 m/s
- Acceleration(a)=2.5 m/s²
- Distance(s)=?
Let's use 3rd equation of motion:-
v²=u²+2as
Putting values:-
(50)² - (0)² = 2(2.5)s
2500 = 5s
s = 2500 ÷ 5
s = 500
So opt-d is correct answer
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