The height in feet of a thrown football is modeled by the equation [tex]h(t) = 6 + 30t - 16t^2[/tex], where time [tex]t[/tex] is measured in seconds.

a. What does the constant 6 mean in this situation?

b. What does the linear term mean in this situation?

c. How do you think the squared term affects the value of the function?

d. What does this term mean in the situation?

a. Type your answer.

b. Type your answer.

c. Type your answer.

d. Type your 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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