Find and sketch the trajectory of the particle in Ex. 5.2, if it starts at the origin wi...

Find and sketch the trajectory of the particle in Ex. 5.2, if it starts at the origin with velocity

Reference example 5.2

Cycloid Motion. A more exotic trajectory occurs if we include a uniform electric field, at right angles to the magnetic one. Suppose, for instance, that B points in the x-direction, and E in the z-direction, as shown in Fig. 5.7. A positive charge is released from the origin; what path will it follow?