Consider a longitudinal uniform time-dependent magnetic field b inside an infinitely long round metal rod of radius a. the magnetic field outside the rod is zero. for a non-relativistic particle of mass m and charge q moving outside the rod, integrate two components of the particle's equation of motion in cylindrical coordinates. then, describe the qualitative behavior of the third component of the equation (which cannot be solved quantitatively). what is the geometric shape of the trajectory?

Aball is thrown from the top of a building with an initial velocity of 21.9 m/s straight upward, at an initial height of 51.6 m above the ground. the ball just misses the edge of the roof on its way down, as shown in the figure. (a) determine the time needed for the ball to reach its maximum height. (b) determine the maximum height. (c) determine the time needed for the ball to return to the height from which it was thrown, and the velocity of the ball at that instant. (d) determine the time needed for the ball to reach the ground. (e) determine the velocity and position of the ball at t = 5.35 s.