Question

PLEASE HELP DUE TOMORROW The function H(t)=-16^2+90t+50 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) =28+48.8t, where g(t) is the height, in feet, of the object from the ground at 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.

Answer 1

part A H(t) 124 166 176 154 g(t) 76.8 125.6 174.4 223.2

Part B between 3 and 4 seconds, g(t) was able to catch up to H(t) in terms of height. At H(t)=g(t), this gives 3.03 seconds which is indeed between 3 and 4 seconds. Above 3.03 seconds, g(t) overtakes the height of H(t).