Question

A firecracker shoots up from a hill 165 feet high with an initial speed of 110 feet per second. Using the formula H(t) = −16t2 + vt + s, determine how long it will take the firecracker to hit the ground.

Answer 1

you are told both \(v\) and \(s\) in the question.
\(v\) is the "initial speed, i.e. \(v-110\)
\(s\) is the initial height, so \(s=165\)
when it hits the ground, the height will be zero, so your actual job is to solve
\[-16t^2+110t+165=0\] for \(t\)

can you do that?

Answer 2

*\(v=110\) is what i meant