A cannonball is launched off a 100 m cliff horizontally with an initial velocity of 50 m/s. The goal is to hit a target 200m away but the cannonball goes too far. Which of

these changes could make the cannonball travel a shorter distance?

a) Decrease the launch speed of the cannon.

UbNeither of these will decrease the range of the cannonball

d Both of these will decrease the range of the cannonball

Lower the launch height of the cannon.

Write the equation for momentum, first using symbols for the variables, then using words for the variables.

Wavelength, frequency, and energy are related. what happens to a wave as it’s wavelength gets shorter?

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.)