(Solved): Getting to Space There is no obvious boundary between where the Earth's atmosphere ends and space ...

Getting to Space There is no obvious boundary between where the Earth's atmosphere ends and space begins. But since this is a class about sending people into space, we will use the the definition that the United States uses. To be designated an astronaut, you must travel above an altitude of \( 80 \mathrm{~km} \) (80,000 meters, \( \sim 260,000 \) feet). In order to throw and object, straight up, to a height \( h \), you have to throw it with a velocity v: \[ v=\sqrt{2 g h} \] where \( \mathbf{g} \) is the acceleration due to gravity of the Earth \( \left(\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^{2}\right) \). The velocity \( \mathbf{v} \) is measured in meters per second \( (\mathrm{m} / \mathrm{s}) \) and the height \( \mathrm{h} \) is in meters \( (\mathrm{m}) \). Air resistance is ignored. Question 1 2 pts Calculate how fast you have to throw someone, straight up, to make them an astronaut. Velocity to become an astronaut is \( \mathrm{m} / \mathrm{s} \)