Chapter 4, Problem 80PQ

(a)

To determine

Draw the graph for the path of the particle and show that its helix.

(b)

To determine

Find the value of $\overrightarrow{v}\left(t\right)$ and $\overrightarrow{a}\left(t\right)$.

(c)

To determine

Describe the z component  of $\overrightarrow{v}\left(t\right)$ and $\overrightarrow{a}\left(t\right)$

(d)

To determine

Can the given position, velocity and acceleration describes the charged particles in helical path.