In the context of the problem, the number 47 represents the initial height of the football when the quarterback is standing at the top of the bleachers, specifically 47 feet above the ground. This is the height from which the quarterback throws the football. The overall expression \(-16t^2 + 32t + 47\) models the height of the football over time, where the other terms account for the effects of gravity (the \(-16t^2\) term) and the initial upward velocity (the \(32t\) term).
a quarterback is standing at the top of the bleachers trying to follow as high into the air as he can he picks up the football so that it is 47 feet above the ground and throws the football as high as he can the height of the football after t seconds can be modeled by the expression -16t^2 + 32t + 47 what does 47 represent in the context of the problem
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