1. A firework is shot into the air with an initial vertical velocity of 50 feet per second from 5 feet off the
ground. Let t represent the time in seconds the firework is in the air, and let h(t) represent the height of
the firework in feet. The height of the firework can be modeled by the function:
h(t)=-16²+50t+5
Solve the equation algebraically for when the firework will hit the ground. Provide your answer in
context of the scenario. Show all of your work. Round your solution(s) to the nearest hundredth.
