Suppose that the wave function for a system can be written as and that are normalized eigenfunctions of the operator with eigenvalues E1, 2E1, and 4E1, respectively. a. Verify that is normalized. b. What are the possible values that you could obtain in measuring the kinetic energy on identically prepared systems

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.