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A batter swings and hits a fly ball in baseball, giving it an initial velocity of 33.2 m/s at an angle of 40 degrees from the horizontal. The ball is impacted at 1.03 meter above the ground. The baseball undergoes a parabolic path that is set to just clear a 2.88-meter fence in center field. The centerfielder, 28.0 meters away from the fence, on the impact of the ball, runs to the point where the ball is approaching the fence and leaps to catch the ball and prevent the homerun. Determine the minimum average speed (in m/s) of the outfielder that allows him to do this. Ignore air resistance.
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