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A Touch Football Quarterback Passed The Ball To A Receiver 40m Downfield. The Path Of The Ball Can Be Described By The Function H = -0.01(d - 20)² + 6, Where H Is The Height Of The Ball, In Metres, And d is the horizontal distance of the ball from the quarterback, in metres. (a) What was the maximum height of the ball? (b) What was the horizontal distance of the ball from the quarterback at its maximum height? (c) What was the height of the ball when it was thrown? When it was caught? (d) If a defensive back was 2m in front of the receiver, how far was the defensive back from the quarterback? (e) How high would the defensive back have needed to reach to knock down the pass?
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