Stanley Wheeler
09/18/2024 · Middle School

The flight path of a firework is modelled by the relation \( h=-5(t-5)^{2}+127 \), where \( h \) is the height, in metres, of the firework above the ground and \( t \) is the time, in seconds, since the firework was fired. a) What is the maximum height reached by the firework? How many seconds after it was fired does the firework reach this height? b) How high was the firework above the ground when it was fired?

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a) Maximum height: 127 metres at 5 seconds. b) Height when fired: 2 metres.

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