Will someone explain this to me, please?

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)

Question

Will someone explain this to me, please? 

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)

welshfella · Answer

creating the table is easy. 
Start by replacing  t in the function by 2 
so you first entries for −16t2 + 96t + 80

will be t = 2  and H(t)  = -16(2)^2 + 96*2 + 80  which equals 198 feet

now do the same for 3,4 and 5 seconds 

THen repeat the same process with g(t)  to get the second table

anonymous · Answer

Ohhh, okay, thank you so much!