. A non-uniform positive line charge of length 2 m is put along the x-axis as shown in the figure, where x0=1.5 m. The linear charge density is given by λ(x)=4x2 C/m3. Find the magnitude of the total electric field, E, created by the line charge at the origin using integration. (Take k=9x109 N m2 /C2)

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.