Go to the web site in the reference below, go to the bottom of the page.
Will this answer your question? Put in 93.8 for mean. For standard deviation, put in 4.41942 (i.e., 12.5/sqrt(8)). Put .05 for shaded area. Click "Outside" and see 85.1381. Does that tell you that 93.8 causes you to reject...
The horizontal component of the velocity at take-off is 19.5 * cos(53). The vertical component is 19.5 * sin(53).
The time to travel to the goal post is
36.4 / (19.5*cos(53)) = 3.1 seconds
The height of the ball above the ground after 3.1 seconds is given by
h = 19.5 * sin(53) * 3.1 - (1/2)...