A skier is moving at a constant velocity for 20 seconds when he hits a downhill slope of 60 meters and begins to accelerate at 6 m/s^2 for 6 seconds. At the bottom of the hill he begins to stop over 10 seconds a. What was the skiers constant velocity before going down hill?
b. What was the skier’s acceleration as he comes to a stop?
c. What was the skier’s total distance over the 36 seconds?
d. What was the skier’s average speed during the 36 seconds?

In a system, when potential energy decreases, then entropy also decreases. true false

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.)

Scientists follow specific processes in order to determine valid explanations and conclusions from observations. david observed strange lights in the sky above his home outside of roswell, new mexico. the only explanation that makes sense to him is that there are ufos in the area. what should david do next to verify his explanation?