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A $300,000$ $kg$ commercial airliner is flying through the air with $150,000$ $N$ of thrust.

For airplanes traveling at high speeds, the drag force is related to the velocity by the following equation:

$${ F }_{ drag }=-b{ v }^{ 2 }$$

...where drag force is opposite to the direction of the velocity.

If the drag constant $b$ is $3$ $kg/m$ and the airplane is moving at $200$ $m/s$, how would you describe its motion?


In equilibrium (cruising at constant speed).


Near equilibrium, positive acceleration.


Near equilibrium, negative acceleration.


Greatly accelerating during takeoff.


Greatly slowing down during landing.

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