1. At school we have a test, and we got information in advance. I figured some parts out, but i'm not sure if it's all in the right place. I hope some of you can help.

The idea is as followed,

We have a waterbottle and we want to shoot it up, it's filled with only air and water. There is a frictionless weight underneath, and a pin. A pump will put air inside the waterbottle at unknown pressure. If the pin is retracted the bottle will fly up, and the frictionless weight plus the water will get down.

Vz = speed of the weight (cilinder) and water
Vf = speed of the bottle
Mz = mass of the weight (cilinder) plus water
Mf = mass of the bottle
Fz = gravity (g)
H = Hight
t = Air tension
C = Volume

0,5*Mz*(Vf-Fz)^2+Mf*Fz*H=t*C*(0,5*Mf*(Vz+Fz)^2)

0,5*Mz*Vf^2=0,5*Mf*Vz^2

Mz/Mf=Vf/Vz

2.

3. nobody?

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