$1.$ You are abducted by aliens who transport you to their home world in a galaxy far far away. Oddly, the only thing you can think of doing is measuring the acceleration due to gravity on this strange new world. You drop an alien paperweight from a height of 12m and use an alien stopwatch to measure the interval of $1\mathrm{.}36$s it takes the paperweight to hit the ground below. What is the acceleration due to gravity on the alien home world? 

 

 $2.$ In a bid to escape from your alien captors you hurl your paperweight straight up towards the door switch on a space ship above you. If the switch is 25$\mathrm{}\mathrm{}$ m above you how fast does the paperweight need to leave your hand?