Note the Physics

• The x-component motion is rather uninteresting -- constant x-position, thus zero x-velocity, and zero x-acceleration.
• Note the direct relationship between the ball's height and the value of Y on the y-component position graph.
• Note the relationship between the velocity vector and the slope of the Y vs. t curve:

  As the velocity vector gets shorter on the way up, the positive slope of the Y vs. t curve becomes less.

  As the velocity vector gets longer on the way down, the y vs. t curve gets steeper, with negative slope.

• The ball's speed decreases as it rises, and increases as it falls; thus the acceleration is downward. This can also be inferred from the negative slope of the V_y vs. t graph and zero slope of the V_x vs. t graph
• The y-component of the velocity (which is the total velocity in this case) is zero at the maximum height, but the acceleration (slope of the velocity curve) is not zero there.