QUESTION ONE a) A furlong is 220 yards, a mile is 1760 yards or 1609 meters, and a fortnight is 14
days. In 1991, the Zambian athlete, Samuel Matete won an Olympic gold medal, in
Zurich, Switzerland, when he represented Zambia in the 400 m hurdles. His average
speed was 8.5 meters per second. Express his speed in
(i) kilometer per hour
(ii)mile per hour
(iii)furlong per fortnight.

​

An experiment is designed to test the relationship between the initial height of a basketball before it is dropped to the height of its rebound bounce. the height of the rebound bounce is measured using a scale positioned behind the ball. in the above experiment, which condition would not be controlled? a). the starting height of the ballb). the surface the ball bounces on c). the type of ball d). the method to measure the rebound height of the ball

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.)

Gordon is going for a run through the park, but it is cold outside. the low outside temperature could affect his personal safety.