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Answer :
The constant 6 represents the initial height, 30t represents the initial velocity, -16t² affects the value of the function by representing the acceleration due to gravity and the term -16t² in the situation represents the effect of gravity on the football's height over time.
In the given equation, h(t) = 6 + 30t - 16t², the different terms have specific meanings:
- 6 is the initial height of the football when t=0.
- 30t indicates the effect of the initial velocity on the height of the football.
- -16t² represents the impact of gravity, causing the height to decrease as time passes.
The equation h(t) = 6 + 30t - 16t² models the height of a thrown football over time, taking into account its initial height, initial velocity, and the effect of gravity.
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