As an example of the manipulation of an electron beam, con- sider an electron traveling away from the origin along the xaxis in the xy plane with initial velocity v = v. As it passes through the region x = 0 to x = d, the electron experiences acceleration a = aaj, where a and a, are constants. For the case v 1.80 107 m/s, a = 8.00 10 m/s, and a, 1.60 105 m/s, determine at x = d = 0.0100 m (a) the posi- tion of the electron, (b) the velocity of the electron, (c) the speed of the electron, and (d) the direction of travel of the electron (i.e., the angle between its velocity and the x axis). = =