A quarterback throws a pass to his wide receiver running a route. The quarterback releases the ball at a height of hQ . The wide receiver is supposed to catch the ball straight down the field 60 ft away at a height of hR . The equation that describes the motion of the football is the familiar equation of projectile motion from physics: y = x tan(?) – 1/2[x2 g/v02 cos2(?)] + hQ where x and y are the horizontal and vertical distance, respectively, g = 32.2 ft/s2 is the acceleration due to gravity, v0 is the initial velocity of the football as it leaves the quarterback’s hand, and ? is the angle the football makes with the horizontal just as it leaves the quarterback’s throwing hand. For g = 32.2 ft/s², v0 = 50 ft/s, x = 60 ft, hQ = 6.5 ft, and hR = 7 ft, find the angle ? at which the quarterback must launch the ball. Solve Problem 3.29 utilizing Regula Falsi method Print table for each method include relative error and real error and how many iterations for convergance.
