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Advanced Physics
Runway Context A small recreational plane needs to reach a certain speed to be able to take off. Your objective is to plan the length of the runway needed so that small planes can have enough space to take off. Constraints The speed at which the plane manages to take off is known; Planes are initially motionless when departing the runway; The acceleration produced by the aircraft engine is known; We will add 100m to the required length for safety reasons and to account for variations caused by wind; Modelization Models the total runway length (including the 100 m safety) as a function of the speed required to take off as well as the acceleration produced by the aircraft engine. Then test your model with the following parameters: take-off speed: 83 km/ℎ; acceleration produced by the motor: 0.97 m/s^2;

Runway Context A small recreational plane needs to reach a certain speed to be able to take off. Your objective is to plan the length of the runway needed so that small planes can have enough space to take off. Constraints The speed at which the plane manages to take off is known; Planes are initially motionless when departing the runway; The acceleration produced by the aircraft engine is known; We will add 100m to the required length for safety reasons and to account for variations caused by wind; Modelization Models the total runway length (including the 100 m safety) as a function of the speed required to take off as well as the acceleration produced by the aircraft engine. Then test your model with the following parameters: take-off speed: 83 km/ℎ; acceleration produced by the motor: 0.97 m/s^2;

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Runway
Context

A small recreational plane needs to reach a certain speed to be able to take off. Your objective is to plan the length of the runway needed so that small planes can have enough space to take off.

Constraints

The speed at which the plane manages to take off is known;
Planes are initially motionless when departing the runway;
The acceleration produced by the aircraft engine is known;
We will add 100m to the required length for safety reasons and to account for variations caused by wind;


Modelization

Models the total runway length (including the 100 m safety) as a function of the speed required to take off as well as the acceleration produced by the aircraft engine.

Then test your model with the following parameters:

take-off speed: 83 km/ℎ;

acceleration produced by the motor: 0.97 m/s^2;

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