Rocket Thrust Computation

In the previous workspace, you have successfully calculated some fundamental properties of rockets. Now, it's time to apply that knowledge! In this task, you'll derive a symbolic expression for the rocket's thrust based on the time and distance traveled.

What is the thrust required so that the rocket can traht$=1$ a distance $dn$ in a given time $tn?$ Define this thrust as Thn$.$

We've ensured that your code snippet has access to some of the SymPy symbols and expressions defined in the previous part of this MP$,$ as indicated below. You may directly use these symbols and expressions, there is no need to define them again.Your code snippet should define the following SymPy expression:

$\backslash$table$[[$Name$,$Type,Description$],[$Thn$,$SymPy expression,The thrust required so that the rocket can travel a distance dn in a given time tn$]]$

Hints:

The equations for thrust $T$ and rocket postion $y_R(t)$ will come in handy:

$T=-V_e{m}_P^{}$

$y_R(t)=V_e[tln(1-\frac{m_P^{}t}{m_0})-t-\frac{m_0}{m_P^{}}ln(1-\frac{m_P^{}t}{m_0})]+y_0$

By definition, $d_n=y_R-y_0.$ Assuming fixed $m_0,m_P^{},y_0,$ for given $d_n,t_n,$ you can obtain a unique $V_e.$

Plug this unique $V_e$ into the thrust equation to obtain the corresponding thrust $T.$

sp$.$ solve and subs will be useful.