A football player kicks a football off a tee with a speed of 21 m/s at an angle of 51 degrees. a. How far is the ball from the football player when it lands? b. How much farther would the ball go if he kicked it with the same speed, but at a 45 degree angle? c. Which ball will land first: the ball kicked at 21 m/s and at a 51 degree angle, or one kicked at 25 m/s and at a 65 degree angle?

What are the phases shown in a and d called?

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 happens to an isotope during radioactive decay?