if you're worried about youre health you're completely fine. (other than the fact you are throwing up, if your sick please see a doctor) but if the things you're worried about is that it can out of your nose, dont worry it happenes to a lot of people. Your nose and mouth are both connected to your throat and that sudden rush of fluids from your throat can confuse your body, Its like when you laugh while eating and then you accidently get food in your nose. Don't worry this isn't anything that is particulary bad but i will say that the vomiting is not good
You should have the velocity as a function of time either given explicitly or implicitly (a graph)
v = ds/dt (differentiating the position vector)
integrating the acceleration.
you can use impulse or work and energy principle and also newton law of motion to find acceleration then velocity
NOT SURE IF THAT WHAT YOU WANT.
The strength of the gravitational force between two objects depends on the distance between their centers.
At higher altitude, the center of the Earth is farther from the center of YOU, so the strength of the gravitational force between those two objects is less.
Answer:
"Apparent weight during the "plan's turn" is 519.4 N
Explanation:
The "plane’s altitude" is not so important, but the fact that it is constant tells us that the plane moves in a "horizontal plane" and its "normal acceleration" is 
Given that,
v = 420 m/s
R = 11000 m
Substitute the values in the above equation,



It has a horizontal direction. Furthermore, constant speed implies zero tangential acceleration, hence vector a = vector a N. The "apparent weight" of the pilot adds his "true weight" "m" "vector" "g" and the "inertial force""-m" vector a due to plane’s acceleration, vector
In magnitude,





Because vector “a” is horizontal while vector g is vertical. Consequently, the pilot’s apparent weight is vector

Which is quite heavier than his/her true weigh of 519.4 N