USE A MODEL New City's public works is putting together a fireworks
presentation to celebrate the Fourth of July. They will be launching fireworks at
different heights. The path of one of the fireworks is defined by the equation
h₁ = -16t² + 90t + 120, with t in seconds and h, in feet.
a. The equation provides the height the firework is above the ground at any time
between when it is launched and when it hits the ground. What does 120
represent in the context of the situation?
b. Write the equation that models when the firework will hit the ground. Solve
the equation. Round to the nearest hundredth. nam
c. How high is the firework when it is at its highest point? How long did it take to ans
get to this point? Round to the nearest hundredth. Explain.
d. Without graphing the equation, use the information from parts a, b, and c to
describe what the graph would look like. Explain.
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e. Write and solve an equation for the times at which the firework reaches a
height of 200 feet. Round to the nearest tenth.
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