In game 2 of this years World Series Derek Jeter hit a ball to center field in the new Yankee stadium. The ball that Derek hit can be modeled by the equation
y = -0.0024x^2 + x + 3. The centerfield fence is 400 feet away from home plate and the fence is 6 feet tall.
a) Was the hit a homerun?
b) Would it be a homerun if the fence was 20 feet high?
You must show your work and write two sentences explaining how you came up with your answer.
Hint: The only thing you care about is how high (the y value) the ball is above the ground when the ball was at 400 feet (the x value) from home plate. You can use a graphing calculator or even make a t-table to answer this question.
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