The function H(t) = −16t^2 + 60t + 95 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) = 20 + 38.7t, 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 1 through 4 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.
Not sure how to do this? I did them on a graph but not sure what to do from here.

Question

The function H(t) = −16t^2 + 60t + 95 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) = 20 + 38.7t, 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 1 through 4 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. 
Not sure how to do this? I did them on a graph but not sure what to do from here.

welshfella · Answer

all you have to do to create the table is to plug in  1 , 3 and 4 into the 2 functions and  work them out 

eg for H(t)   at t = 1 we have  -16(1)^2 + 60(1) + 95 =  139

welshfella · Answer

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