4. A baseball is pitched with a speed of 35 m/s. If the baseball has a mass of 0.146 kg, what is its Kinetic energy? (35 m/s = 78 mph just FYI - use the m/s)

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.)

The slope of a velocity time graph over any interval of time gives the during that interval

If an athlete runs once around a track, back to the starting line, her average velocity is zero. true or false?