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The function H(t) = 16t 2 + 96

The function H(t) = 16t 2 + 96.

The function H(t) = −16t2 + 96t + 80 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 31 + 32.2t, where g(t) is the height, in feet, of the object from the ground at time t seconds.Part A: Create a table using integers 2 through 5 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)Part B: Explain what the solution from Part A means in the context of the problem. (4 points)

The function H(t) = 16t 2 + 96

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