Use analytical calculations to compute the trajectory of Figure for a launch angle of 40°,...

Use analytical calculations to compute the trajectory of Figure for a launch angle of 40°, a track length of 1 m, and a track inclination angle of 40°. Determine the x- coordinate at which the rosewood box must be placed if its y-coordinate is at the same height as the launch tube exit.

Figure Desired parabolic trajectory and landing site for the ball. The parameters for this particular simulation are L = 0.51 m, h = 0.33 m, α = 40°, θ = 61°. The target is placed at x = 0.4 m and y = 0.2 m relative to the point of launch.