need help on 3 and 5! thank you!

6 Charged barrel Consider a pipe with radius R with charge per area o. The pipe ends and y = 0 and extends infinitely in the -y direction. O R 1. What is the field a distance a above the end of the pipe? Hint, divide the pipe into an infinite number of rings. 2. Plot E, as a function of A. Be sure to include both positive and negative h in your plot. 3. What is the potential difference between by above the end of the pipe and he below the end of the pipe? Use the sign convention where the voltage is positive is by is at a higher voltage the ho. (You can get this either by integrating over the charge or integrating E. However, the former method will require some careful cancellation of infinities.) 4. Plot Vy as a function of A. For the purposes of the plot make ro = -10R. 5. Suppose a projectile of mass m and charge q starts at depth ho below the top of the pipe. Ignoring gravity, the projectile will accelerate out the end of the pipe. How fast will the projectile be going when it is at height hy above the end of the pipe? You may neglect gravity