Answer
Line E is the line that gives the velocity of the thrown egg.
Work Step by Step
Since we know that D is the line for the dropped egg [previous question], the thrown egg must have the same acceleration as the dropped egg, but a initial speed that is of greater magnitude but in the negative direction. Line E has the same slope (which means acceleration in a velocity vs. time) and starts in the negative quadrant, so this must be the line for the thrown egg.