Pilots must be good in math and physics. I will now write some questions to test you. Comment your answer. I will message you if you are right. Then later after everyone finish I will post the right answer. I see that many people say they want to be a pilot. See if you are good enough.

Level 1:

An aircraft at speed 900 km/h cruises at heading 0 with a wind of 89 km/h coming **from** 289 degrees. What is the time taken for the aircraft to travel a distance of 300 km north of its current position?

Assume thrust is constant.

Level 2:

An aircraft of mass 300,000 kg cruises at 36,000 feet. Every minute, 500 kg of fuel is burnt. The aircraft exerts a forward thrust of 250,000 N.

Assume the only forces acting are weight and thrust. Assume acceleration by gravity = 9.81 ms^-2

^ = to the power

To maintain constant altitude, how many degrees must the pilot pitch down every minute?

At the start of flight, plane has a pitch of 15 degrees above horizontal, what is the forward horizontal acceleration of the aircraft?

Level 3:

A plane crashes into the ocean at a velocity of 2356 km/h, and the impact only lasts for 2 seconds. The passengers are all wearing seatbelts that reduces the force of the impact by 100 times. Assume the force is evenly distributed to all parts of the plane.

Research suggests the force a person can withstand has an average of 600 N and a standard deviation of 200.

The average American is 80 kg. Would you expect an average American to survive the crash?

If all 200 people on the plane were exactly 80 kg, how many people would need to survive in order to doubt the research, at the 95% confidence level?