Question 2 (essay worth 5 points)
a train leaves the station heading west on the tracks. it takes the train 8 seconds to reach 80 miles per hour. it completes the entire 160 mile trip in two hours
calculate the train's average speed and velocity over the two hour trip. show your work. identify if each of the measurements are a scalar or vector quantity

Rank the torques on the five doors shown in the figure above from least to greatest. note that the magnitude of all the forces is the same

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.)

Gather reliable information to brent make his decision. to gather this information, use newspapers, call insurance companies or look at their web sites, and review consumer magazines and web sites. also, look at the manufacturer web site or for information about gas mileage. list the sources you use and take notes.