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x is the horizontal distance from the net. 15 P1: Boris plays a game of tennis. He serves from the base line to his

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x is the horizontal distance from the net. 15 P1: Boris plays a game of tennis. He serves from the base line to his opponent, Steffi. The path of the ball may be modelled by the quadratic curve H(x) = 2.103 +0.1455x - 0.01932x for 0 x X. a Find the maximum height of the ball during its motion. (2 marks) b The height of the net is 1.07 m. Boris is standing on the baseline of the court, at a horizontal distance of 11.98 m from the net. Show that the ball just passes over the net. (2 marks) c Suggest a maximum value for X and explain why this would be a sensible value to take. (3 marks)

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