Airplane down the runway

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So 34.6m/s * 2 = 69.2m/sIn summary, the airplane travels 277m down the runway with a constant acceleration before taking off. It becomes airborne in 8.00 seconds and is moving at a velocity of 69.2m/s at takeoff.
  • #1
WRXSIG
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airplane down the runway...

An airplane travels 277m down the runway before taking off.
Assuming that it has constant acceleration, if it starts from rest and becomes airborne in 8.00 seconds, how fast m/s is it moving at takeoff?

am i missing something here? 277/8seconds =34.6m/s?
 
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  • #2
yes, I'm afraid you are. What you have calculated is it's average velocity, the total displacement divided by the total time. To find the velocity at take off, you first have to find what that constant acceleration is, then see how fast it's going after 8 seconds of accelerating at that rate.

you need these two equations:

x(t) = 1/2 a t^2 (assuming it starts from rest at the origin)

and

v(t) = a*t (assuming it starts from rest)
 
  • #3
It's easier than that, with constant acceleration, average velocity is 1/2 the final velocity.
 

1. How is the speed of an airplane determined on the runway?

The speed of an airplane on the runway is determined by the pilot and air traffic control based on factors such as the weight of the aircraft, wind speed and direction, and the length of the runway. The pilot uses instruments and visual cues to maintain a safe speed for takeoff or landing.

2. What is the purpose of the runway markings?

The runway markings serve as visual aids for pilots during takeoff and landing. They indicate the length and width of the runway, as well as specific areas such as the touchdown zone and the aiming point, to help the pilot maintain a safe and accurate approach and landing.

3. What happens during an aborted takeoff?

An aborted takeoff, also known as a rejected takeoff, occurs when the pilot decides to stop the plane before it has reached takeoff speed. This can be due to various reasons such as a mechanical issue, an obstacle on the runway, or a change in weather conditions. The pilot will apply the brakes and engage reverse thrust to slow down the aircraft.

4. How does an airplane take off from the runway?

During takeoff, the pilot will increase the engine power and the aircraft will start moving down the runway. As the speed increases, the pilot will rotate the nose of the plane up, creating lift under the wings. Once the lift is greater than the weight of the aircraft, it will become airborne and continue to climb.

5. What factors can affect the length of the runway needed for takeoff?

The length of the runway needed for takeoff can be affected by several factors including the weight of the aircraft, temperature, altitude, wind speed and direction, and runway conditions. Heavier aircraft, higher temperatures, and higher altitudes require longer runways to achieve the necessary speed for takeoff. Strong headwinds can also reduce the length needed, while tailwinds can increase it.

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