Suppose we have a stationary external magnetic field B. We have a negatively charged particle of charge |8q| and mass m. Initially, it is moving vertically upwards with speed [vol and no horizontal velocity. The particle can move freely in x and y directions. (a) Plot the horizontal velocity and position of the particle and provide the corresponding expressions. Consider the origin to be the center of the particle's path. (Two plots, two expressions) B Vx vx(t) = ? t x -|8q|, m x(t) = ? t (b) Keeping the same origin, let the B field be flipped and repeat the plots from part (a). How are the plots different? (Two plots, one short answer)