Superposition of position and velocities

A pulse (shown on Figure 1) is heading in the $x$ direction at 100 m/s towards the fixed end of a string (at $x=0$).

Figure 1: Travelling pulse.

(a)

Sketch snapshots at $t = 0.05$ s and $t = 0.06$ s.

(b)

Sketch the velocity distributions at $t = 0$, $t = 0.05$ s, and $t = 0.06$ s.

(c)

Sketch a particle history for the endpoint ($x=0$).

(d),

(e), (f):   Repeat parts (a), (b), and (c) if the end at $x=0$ is free (in the $y$ direction) instead of fixed.