Acceleration is the rate of change of velocity. The velocity (positive means down) of a pumpkin thrown off the top of Cheadle hall t seconds after launch is 32 ft/sec (until it hits the ground). (a) What is the average rate of change of velocity between =1 and =2? 1.5 feet per second per second (b) What is the average rate of change of velocity between =1 and =1.1? feet per second per second (c) If the pumpkin lands after 2.5 seconds, what is the speed of the pumpkin when it hits? feet per second

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)