- #1

PeterH

- 16

- 0

Hi!

I am to model the motion of a meteor as it travels through the atmosphere, taking into account the loss of mass, which is 0.025 kg upon impact (height = 0). I also have to take into account the air resistance on the meteor, the fact that the air density is a function of height and that the orthographic projection of the meteor perpendicular the direction of movement (part of the air resistance equation) is a function of the mass of the meteor.

I assume that gravitational field strength is constant.

I have attached a picture of the equations I have been able to derive so far using standard formulas.

I have to solve the differential equations for x(t) and y(t), however, I have tried and failed and therefore seek help.

I can assure you that I am in no way trying to get out of doing some homework; this is for a very important school project and I really need help, so even the smallest hint would be greatly appreciated!

View attachment 3671

I am to model the motion of a meteor as it travels through the atmosphere, taking into account the loss of mass, which is 0.025 kg upon impact (height = 0). I also have to take into account the air resistance on the meteor, the fact that the air density is a function of height and that the orthographic projection of the meteor perpendicular the direction of movement (part of the air resistance equation) is a function of the mass of the meteor.

I assume that gravitational field strength is constant.

I have attached a picture of the equations I have been able to derive so far using standard formulas.

I have to solve the differential equations for x(t) and y(t), however, I have tried and failed and therefore seek help.

I can assure you that I am in no way trying to get out of doing some homework; this is for a very important school project and I really need help, so even the smallest hint would be greatly appreciated!

View attachment 3671