what do you think should be the motion of an airplane preparing for take off?
I would guess pretty much constant thrust.
So pretty much constant acceleration.
a = F/m
v = a t
x = (1/2) a t^2
To determine the motion of an airplane preparing for takeoff, you need to consider several factors. Here's how you can assess the motion:
1. Preliminary Checks: Before takeoff, the pilot and ground crew perform various checks to ensure the airplane is ready. This includes inspecting the aircraft's systems, engines, and visual inspections to detect any abnormalities.
2. Taxiing: Once the checks are complete, the airplane typically starts to taxi. This is the process of moving the aircraft on the ground under its own power. The pilot follows the instructions of the air traffic control and maneuvers the airplane towards the designated runway.
3. Line-Up: As the airplane reaches the runway, it aligns itself parallel to it. It's crucial to maintain a straight line to ensure a safe takeoff.
4. Acceleration: Once aligned, the pilot increases the engine thrust gradually while maintaining control of the airplane. The aircraft accelerates down the runway, gaining speed.
5. Rotation: When the aircraft reaches its specified takeoff speed, known as Vr (rotation speed), the pilot pulls back on the control column or joystick. This action lifts the nose of the airplane, initiating the takeoff rotation.
6. Climb: As the aircraft rotates and lifts off the ground, the pilot maintains a positive rate of climb. This means the plane is ascending at a steady pace, gaining altitude.
It's important to note that the specific motion of an airplane during takeoff may vary depending on factors such as aircraft type, size, weight, weather conditions, and pilot technique. Flight manuals and regulations set by aviation authorities also play a role in determining the precise procedures for a safe takeoff.