From a balcony of a building located at the dead-end of a street, John is planning to hit people coming toward his building with flowers. For this, John makes a red-colored mark on the road so that the moment he sees a person at that mark he throws a flower at a speed of 5ms−1 at an angle of 60o with vertical. Assuming that people approach the building at 3ms−1 and if the distance of the point where flower hits a person from the red-colored mark is 10m: (a) find the distance of red-colored mark from the base of the building,
(b) find the height of balcony from the ground, and
(c) just before the flower hits a person, find the horizontal and vertical components of its velocity.

Are aliens real? justify you’re answer.

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.)

What effects result when there is an impact between earth and an asteroid? check all that apply. a.massive flooding. b.extinction of many life forms.c.major earthquakes change in average global temperature.d. giant dust cloud