5. A rocket is fired into the air at an angle of 25 above the horizontal with a velocity of 300 m/s. using conservation of energy, determine: a. The maximum height the rocket will attain. b. The work done in order to get the rocket to this height. c. The work done to carry the rocket the horizontal distance at the maximum height. 6. How much work will a 100 kg runner have to do in order to increase their speed from 8 m/s to 12 m/s? 7. In order to fill a 5 liter bottle with water in 10 seconds through a 0.25 inch diameter pipe, what sized pipe would be needed to precede the outlet pipe if the water travelling through it is 0.5 m/s