A bumblebee is flying to the right when a breeze causes the bee to slow down with a constant acceleration of 0.50\,\dfrac{\text m}{\text s^2}0.50 s 2 m 0, point, 50, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction leftward. After 2.0\,\text{s}2.0s2, point, 0, start text, s, end text, the bee's speed is 2.75\,\dfrac{\text m}{\text s}2.75 s m 2, point, 75, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction to the right. How fast was the bumblebee flying before the breeze?

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.)