Vertical cylinder is filled with 0.10 moles of an ideal gas at standard temperature and pressure, and a 1.4-kg piston is initially held above the gas and seals the gas in the cylinder. uniform gravity acts downward. the seal is frictionless. the resulting trapped column of gas is 2.4 meters high. the piston and cylinder are surrounded by air which is also at standard temperature and pressure.

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Acatapult is tested by roman legionnaires. they tabulate the results in a papyrus and 2000 years later the archaeological team reads (distances translated into modern units): range = 0.4 km; angle of launch = π/5 rad; landing height = launch height. what is the initial velocity of launch of the boulders if air resistance is negligible?

Work out sian speed for the first 30 minutes of her journey. give your answer in km/h.