You are sharing a house with a few roommates. one of them plays on the basketball team, and is exactly 200 cm tall. the heights of you and the other roommates are 188 cm, 175 cm, and 160 cm. you want to buy the minimum height mirror that will allow all of you to see your entire selves, when the mirror is mounted in a fixed position on the wall.
assume each person's eyes are at a level 95% of their height.
a) how tall a mirror should you buy?
cm

b) how many centimeters above the floor should the top of the mirror be?
cm

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

Suppose while hauling rocks, you accidentally drop one. it breaks apart in flat, planar sections. what type of rock did you just drop? 20 points

Mechanical energy is when the amount of kinetic and potential energies added together remains the same. conserved created lost