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At What Height Does the Goalie Catch the Ball?

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A soccer player kicks a ball so that it leaves the ground travelling 19.0 m/s at an angle of 32 degrees above the horizontal. The ball is caught by the goalie, who is standing 29.0 m down the field from where the ball was kicked. At what height does the goalie catch the ball? Also find the magnitude and direction of the ball's velocity at the instant of the catch with respect to the horizontal.

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The solution determines at what height does the goalie catch the ball.

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