Take the tour ×  A textbook question proposes the following
scenario:  NASA needs to plan emergency landing sites for the
Space Shuttle (RIP). There are a number of things to consider.
The shuttle touches down no sooner than $300$ meters into runway
track, and upon touching down deploys a parachute, which takes 5
seconds to be fully deployed. Once the speed decreases to $60\
\mathrm{km/hr}$, the brakes can be applied and require $200$
meters further to arrive at a complete stop. Here are the rest
of the specs (not necessarily accurate in real life):    • Total
Landing Mass: $104,328\ \mathrm{kg}$    • Velocity: $350\
\mathrm{km/hr}$    • Area of parachute: $68.0625 \pi$    •
$C_D$, the drag coefficient of the parachute: $1.4$    •
$\rho_\text{air}$, the density of air: $1.1774\ \mathrm{kg/m^3}$
The question is, asses NASA's decision to land the space
decision at an airport with a runway of $11,000\ \mathrm{ft}$.
I begun my assesment by assuming the Shuttle touches down at the
$300$ meter mark, at which it