The horizontal distance that a projectile will travel in

Chapter 7, Problem 109

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The horizontal distance that a projectile will travel in the air (ignoring air resistance) is given by the equation R1u2 = v 2 0 sin12u2 g where v0 is the initial velocity of the projectile, u is the angle of elevation, and g is acceleration due to gravity (9.8 meters per second squared). (a) If you can throw a baseball with an initial speed of 34.8 meters per second, at what angle of elevation u should you direct the throw so that the ball travels a distance of 107 meters before striking the ground? (b) Determine the maximum distance that you can throw the ball. (c) Graph R = R1u2, with v0 = 34.8 meters per second. (d) Verify the results obtained in parts (a) and (b) using a graphing utility

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