The method and the results are on the projectile motion lab. Do the analysis yourself first, then check the answers below.
Quick answer: Projectile motion combines a constant horizontal velocity with a vertical motion of constant acceleration g = 9.81 m/s² downwards. These answers go with the Physics 11-12 lab on projectile motion: the graph, the calculations, the uncertainties and the conclusion explained, for all 8 analysis questions.
With H = 0.85 m the time of fall is 0.416 s for every release. The launch speeds 1.49, 2.02 and 2.47 m/s follow from the ranges. Your values will differ, but the time of fall must be the same for all releases.
Level: Physics grades 11-12 (A Level · IB · Class 11-12) · Curriculum: A Level 3.4
Air resistance reduces the horizontal speed, and the marble may leave the table with a slight downward angle or spin. Measuring from the wrong point of the marble also changes x.
Question 8 Improvement
Take more landings per release and use their mean, or use a camera to measure the speed at the table edge directly for comparison.