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The same firework cannon is used to fire an identical 0.8 kg payload with an initial velocity of 80 m/s but it now has an angle of elevation of 75°. (a) Since the 1.2 m long cannon is now tilted 75°, what is the starting height of the payload when it leaves the cannon? (b) What is the maximum height of the payload? When it gets to its highest point, the payload's horizontal velocity will be unchanged, but its vertical velocity will be zero. Use this knowledge to find the kinetic energy of the payload at its maximum height. The remaining energy will all be in the form of gravitational potential energy. Use that to find the maximum height. (What to avoid: there might be a temptation to think that the y-component of kinetic energy has converted to gravitational potential energy, but this will mislead you as energy cannot be separated into x and y components. Those that are particularly good at math maybe able to reason out how this incorrect idea will lead you to the wrong value.)
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