Kinematics problem, don't know how to find unknown variables

AI Thread Summary
A rocket is launched vertically with an initial speed of 500 m/s, and the equations of motion provided include Yf = 1/2 A(T)^2 + Vi(T) + Yi and Vf = A(T) + Vi. The user has derived Vf = (-9.8)(T) + 500 m/s and Yf = 4.9T^2 + 500T + 0 but is struggling to solve for the unknown variables, particularly time (T). The main goal is to find all variables in the equations based on the given initial conditions. Clarification on the specific question being asked is also needed. Understanding the relationships between the variables is crucial for solving the problem effectively.
Physicsnoob10
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Homework Statement


A rocket is shot straight up with an initial speed at 500 m/s.


Homework Equations


The equations the teacher went over beforehand were

Yf = 1/2 A(T)^2 + Vi(T) + Yi
Vf = A(T) + Vi

The Attempt at a Solution


So far I have

Vf = (-9.8)(T) + 500 m/s
Yf = 4.9T2 + 500T + 0

...and I have no idea how to go about solving for the rest of the unknown variables. It seems like I need T somehow, but I don't know how I can get it from the information given.
 
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What is the question?
 
Oh, sorry. Guess I didn't make that clear. You basically just have to find all the variables in the equations.
 
I still do not know what is the question.
If you have a rocket with velocity of 500m/s, you can be anywhere in this universe.
Maybe on any planet.
 
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