A physics teacher is designing a ballistics event for a science competition. The ceiling is 3.00m high, and the maximum velocity of the projectile will be 20m/s. What is the maximum that the vertical component of the projectiles initial velocity could have?

Two kilograms of air within a piston–cylinder assembly executes a carnot power cycle with maximum and minimum temperatures of 800 k and 300 k, respectively. the heat transfer to the air during the isothermal expansion is 60 kj. at the end of the isothermal expansion the volume is 0.4 m3. assume the ideal gas model for the air. determine the thermal efficiency, the volume at the beginning of the isothermal expansion, in m3, and the work during the adiabatic expansion, in kj.