A visitor to Washington, D. C. walks directly from the White House along Pennsylvania Avenue to Constitution Avenue. The distance is 2.00 km in the direction 110.T. He turns left on Constitution Avenue and walks due east for an additional 0.87 km. When he stops, the dome of the US Capitol Building is 0.32 km due south of his position. He walks to the Capitol Building and enters the Rotunda under the dome. What is his displacement from the White House?

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.)

Which one of the following research methods can show cause and effect

A15.75-g piece of iron absorbs 1086.75 joules of heat energy, and its temperature changes from 25°c to 175°c. what is the specific heat capacity of iron?