Problem 6 (10 points): During the peak years of mobile gaming was a free game/app called \"Jetpack Joyride", a game where you need to propel the main character up and down to collect coins in an endless run to see when your concentration breaks. (\"Kids these days with their Pokemon Go and Genshin Impact\") In one of the \"skins\" for the game, you shot a machine gun at the ground to propel yourself instead of a jetpack while the scientists below you are freaking out. Lets say you and the machine gun weigh 50 kg. And you're falling down at a speed of 1 ms-1 at some height. What speed should a 10 g bullet be shot vertically downward to push you and the machine gun up so that you go higher by 1 m. (Now go play some Jetpack Joyride and be lost in the bop that is the soundtrack. Also people played this game for hours at a stretch to achieve world record runs... I played this on the toilet seat...)