What is the physical meaning of the so-called "generator" of infinitesimal canonical transformation? (you may consider rotation or translation.)

An engineer designs a roller coaster so that a car travels horizontally for 162 ft, then climbs 127 ft at an angle of 31.0° above the horizontal. it then moves 127 ft at an angle of 46.0° below the horizontal. if we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)

Gunpowder residue is most likely to show up where on a shooters hands

Which situation will produce the greatest change of momentum