Three balls are kicked from the ground level at some angles above horizontal with different initial speeds. all three balls reached in their paths the samemaximum height. ball a covered the total horizontal range d; ball b covered the total horizontal range 1.5d and ball c covered total horizontal range 2d when they hit the ground. which of these three balls spent the greatest time in flight? (section 4.3) they all have the same time of flight оа ob oc band a and b

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.)