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**Answer and Explanation :**

**Given : **The function 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 , , where g(t) is the height, in feet, of the object from the ground at time t seconds.

**To find : 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?

**Part B –** Explain what the solution from Part A means in the context of the problem.

**Solution : **

**For Part A – **

Substitute the value of t from 2 to 5 in the equation H(t) and g(t)

t

2

3

4

5

To determine the interval in which H(t)=g(t), we have to plot the equation and the table points and see the intersection.

**Refer the attached figure below.**

The intersection point of both the equations are (4.632,29.088)

**This point lies between t at 4 to 5.**

**Therefore, **H(t)=g(t) between t=4 to t=5.

** For Part B – **

The Part A shows that the projectile destroyed along the path are same in interval [4,5] and gives the solution of equation.

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