Question

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.

Answer 1

Thank you for asking this question. Here is your answer:

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.

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