During a medieval battle, a catapult placed on a summit throws a tarball at an angle of 27.5◦above the horizontal direction. The tarball’s speed at the top of its trajectory is 43.3 m/s. The tarball then lands at a point on the ground within enemy lines, horizontally 321 m from its launch point, striking an enemy unit. Let us neglect air resistance. (a) How high is the highest point of the tarball’s trajectory, from the launch height? (b) What is the vertical distance between the tarball's launch point and the tarball’s point of a strike at the ground?

Air enters a gas turbine with two stages of compression and two stages of expansion at 100 kpa and 17°c. this system uses a regenerator as well as reheating and intercooling – the intercooler returns the air to the inlet temperature. the pressure ratio across each compressor is 4 ; 300 kj/kg of heat are added to the air in each combustion chamber; and the regenerator operates perfectly while increasing the temperature of the cold air by 20°c. determine the system’s thermal efficiency. assume isentropic operations for all compressor and the turbine stages and use constant specific heats at room temperature. (0.378)