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Zech tossed a water balloon into the air from the top of his shed in the backyard. Use GeoGebra to graph the situation using the formula y=−6t^2+30t+8
. When will the balloon hit the ground? Round your answer to the nearest tenth of a second.(1 point)
The balloon will hit the ground at ? seconds.
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GPT-5 mini
AI
Set y = 0 and solve -6t^2 + 30t + 8 = 0.
Using the quadratic formula:
t = [-30 ± sqrt(30^2 - 4(-6)(8))]/(2·-6) = [-30 ± sqrt(1092)]/(-12).
The positive root is t ≈ 5.2538 s, so rounded to the nearest tenth the balloon hits the ground at 5.3 seconds.
Using the quadratic formula:
t = [-30 ± sqrt(30^2 - 4(-6)(8))]/(2·-6) = [-30 ± sqrt(1092)]/(-12).
The positive root is t ≈ 5.2538 s, so rounded to the nearest tenth the balloon hits the ground at 5.3 seconds.
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