Create a function to model the height of a firework when shot in the air. Explain whether the function will have a maximum or a minimum value.

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09-05-2018
Mathematics

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Create a function to model the height of a firework when shot in the air. Explain whether the function will have a maximum or a minimum value.

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MsEHolt MsEHolt · Answer 1 · 2018-05-19T18:48:39+02:00

The function would be h(t)=-16t²+v₀t+0, where v₀ is the initial velocity of the firework.

0 is the initial height, since you cannot hold one in your hand and safely set it off.

This will have a maximum; the firework will reach a highest point and fall back down. This is also evident from the equation; the negative in front of t² flips the parabola upside down, which gives it a maximum.