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? Part B: Explain what the solution from Part A means in the context of the problem.

Question

Mathematics

Savanna Chang

25 July, 03:37

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? Part B: Explain what the solution from Part A means in the context of the problem.

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Answers (1)

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Tatiana Booth · Answer 1

A.

t H (t) g (t)

2 208 95.4

3 224 127.6

4 208 159.8

5 160 192

The solution for H (t) = g (t) is in between 4 and 5 seconds.

B.

Between 4 and 5 seconds, the projectile and the second object will have the same.