Critical Thinking Two identical spring-loaded launchers are fixed to the end of a table. Launcher A is inclined 40° above the horizontal and launcher B is inclined 50° above the horizontal.

(a) Which of these launchers will fire the ball the greatest vertical height above the launcher before it crashes into the ground?

(b) Based on experimental data, an equation that fits the data is suggested for the vertical height above the launcher, y, which may not be correct: y = KV₀² sin θ, where K is a constant with appropriate units, V₀ is the initial velocity of the launcher, and is the angle relative to the x-axis of the launcher. Is this equation consistent with your answer from part a? Explain why or why not. Does this equation make sense? Explain why or why not.

(c) Graph the magnitude of the velocity vs. vertical height for both launcher A and B.