Several large firecrackers are inserted into the holes of a bowling ball, and the 6.4 kg ball is then launched into the air with a speed of 10.2 m/s at an angle of 35° from the horizontal. the firecrackers explode at the peak of the trajectory, breaking the ball into three pieces. a 1.4 kg piece travels straight back horizontally with a speed of 3.7 m/s. a 1.8 kg piece travels straight up with a speed of 11.1 m/s.
a. what is the magnitude of the velocity of the third piece?
b. what is the direction, θ, of the third piece

Matt is driving down 7th street. he drives 150 meters in 18 sec. assuming he doesn’t slow down or speed up, what is his speed?

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.)

If we relied solely on the nonrenewable resources found in the u.s., which one would we run out of first at current usage levels? a. natural gas b. oil c. uranium d. coal