The discussion revolves around a kinematic problem involving a rocket that accelerates upward with constant acceleration until the fuel is exhausted. Participants are exploring the implications of this scenario on the rocket's final height after fuel depletion.
Some participants have identified the need to consider the rocket's continued ascent after fuel depletion, leading to further inquiries about the initial conditions and the effects of gravity. Guidance has been offered regarding the interpretation of the problem and the importance of distinguishing between different phases of motion.
There is a mention of potential confusion regarding the kinematic equations and the specific parameters involved, including the initial velocity and the effects of gravity after fuel is exhausted. Participants are navigating through these assumptions without reaching a definitive conclusion.
see typo in red, now continue per Chi Meson's hint above.physstudent1 said:Homework Statement
A Rocket initially at rest on the ground accelerates straight upward from rest with constant net acceleration a, until time t_1 where fuel is exhausted.
Homework Equations
The Attempt at a Solution
I thought that putting these values into the kinematic equation
y = Vi(t) + 1/2*a*t^2 would be good but the answer is not 1/2(a)t^2 it is
H = .5(a)t^2[/color] + (.5*a^2*t^2)/g