(b) A truck, of mass 1250kg, hcading north crossed the median on the Jasper Highway, then slammed head-on at 25 ms into a 625 kg car
I
heading south at 30 ms
-1
(1) What was the initial momentum of the truck?
(ii) What was the initial momentum of the car?
(iii) Assuming the car and truck move as one following the collision,
what is the speed and direction of the wreck right after the
collision?
Total 15 marks

Free runners jump long distances and land on the ground or a wall. how do they apply newton’s second law to lessen the force of impact?

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.)

Carbon 14 is a naturally occurring stable