/sci/ - Science & Math

[Anonymous No.6797311]

Hey guys I'm trying to figure out the flight of a rocket in terms of velocity and height at any given time. I started with F=ma and changed it a = F/m, then I changed F to thrust (T) and m to (initial mass of rocket - (flow rate)(time))

which lent me the equation for acceleration

a(t) = T/(Mo - Flow(time)) - g

where T=thrust, Mo= initial mass, and g is the acceleration due to gravity

First of all, I'm wondering if I've done this bit right, second of all, I don't really know how to integrate this to achieve the velocity formula and how to go from there to the equation for height

I've looked at a few different equations for the velocity of a rocket at a given time but I'm having difficulties with the variables they use, and I still don't know how to get to position

Thanks for any help you guys can offer, and space general maybe?

[Anonymous No.6797348]

>>6797311

Is this a homework problem. If it is, you might as well put the entire question up. If not, you're going to have to include the mass of the rocket without fuel into your mass. Also, is your flow a function of height and time? Are you trying to be specific on g... because it's dependent on height.

[Anonymous No.6797352]

what exactly are you trying to figure out?

https://en.wikipedia.org/wiki/Tsiolkovsky_rocket_equation

[Anonymous No.6797379]

>>6797352

He's using g, so I believe he might be talking about a rocket blasting off from Earth, which your equation does not work for.

[Anonymous No.6797422]

I apologize for the lack of clarification

g is constant, flow is mass consumed / time

what I'm trying to figure out is the height and velocity at burnout

[Anonymous No.6798299]

http://www.real-world-physics-problems.com/rocket-physics.html

scroll down to "Flight Near Earth's Surface" section

[Anonymous No.6798305]

solve for y1

http://www.rocketmime.com/rockets/qref.html