A lead shot is projected from the ground level with a velocity U, at an angle O, to the horizontal. Given that the times t, for the lead shot to reach its maximum height as t=UsinO/g. Where g is acceleration due to gravity. Show that H reached by the body is Hmax=U^2sin^2O/2g​

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)