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The CHS Baseball team was on the field and the batter popped the ball up. The equation b(x)=80t-16t^2+3.5 represents the height of the ball above the ground in feet as a function of time in seconds. How long will the catcher have to get in position to catch the ball before it hits the ground? Round to the nearest second.
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The height, when the ball reaches the ground, will be 0. So set the quadratic equation to zero: \(0 = 80t - 16t^2 + 3.5\). When it's equal to zero, then it means that you should factor the equation and see what \(t\) would equal to.
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