Final answer:
The graph depicting the height of the egg above the ground during the toss would show a parabolic trajectory, characteristic of projectile motion affected only by gravity. The same shape would be seen for a ball launched vertically upward. The graph of vertical acceleration against time for an object experiencing gravity would show a constant value.
Step-by-step explanation:
The question pertains to the motion of the egg during a game of catch, which is an example of projectile motion. Specifically, the graph that would show the height of the egg above the ground during the toss would depict a parabolic trajectory. This is because, in the absence of air resistance, the vertical component of the egg's motion is influenced only by gravity, which is a constant acceleration.
The egg's height increases as it moves upwards, reaches a maximum point, and then decreases as it falls back to the ground. This results in a graph that rises from the initial height, peaks, and then falls back to zero when the egg breaks on the ground.
For a ball launched vertically upward, the graph of its vertical position versus time would also show a parabola, starting at the launch point, rising to the apex (where the ball's velocity momentarily becomes zero), and then descending back to the ground.
When discussing the vertical acceleration versus time for a ball launched with horizontal velocity, we would expect to see a constant negative value when considering the downward direction as negative. This is because the acceleration due to gravity is constant and acts in the negative direction towards the center of the Earth.