A physics student is attempting to launch a water balloon over his neighbor's fence, which is 2 m tall The student sets up a launcher that will launch a water balloon at 10 m/s at a 53 degree angle above the horizontal. The launcher is 7.5 m away from the fence. Will the water balloon make it over the fence? If so, by how much does it clear the fence? If not, how far below the top of the fence did the water balloon strike the fence?

The starship enterprise is caught in a time warp and spock is forced to use the primitive techniques of the 20th century to determine the specific heat capacity of an unknown mineral. the 125-g sample was heated to 96.3°c and placed into a calorimeter containing 85.9 g of water at 20.0°c. the heat capacity of the calorimeter was 14.2 j/k. the final temperature in the calorimeter was 24.5°c. what is the specific heat capacity (in j/g°c) of the mineral? enter to 4 decimal places.