Three perfectly polarizing sheets are spaced 2 cm apart and in parallel planes. the transmission axis of the second sheet is 30 relative to the first one. the transmission axis of the third sheet is 90 relative to the one. unpolarized light impinges on the first polarizing sheet. what percent of this light is transmitted out through the third polarizer?

Emmy kicks a soccer ball up at an angle of 45° over a level field. she watches the ball's trajectory and notices that it lands, two seconds after being kicked, about 20 m away to the north. assume that air resistance is negligible, and plot the horizontal and vertical components of the ball's velocity as a function of time. consider only the time that the ball is in the air, after being kicked but before landing. take "north" and "up" as the positive ‑ and ‑directions, respectively, and use ≈10 m/s2 for the downward acceleration due to gravity.