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In-s [12.5K]
3 years ago
9

A pilot of a helicopter plans to release a bucket of water on a forest fire. The height y in feet of water t seconds after its r

elease is modeled by y=−16t2−2t+400
. How long will it take for the water to reach the ground? round to the nearest decimal.
Mathematics
1 answer:
frosja888 [35]3 years ago
4 0
You’re gonna have to use the quadratic formula here and a bit of thinking. We know y is height, and once it touches the ground, it will be 0.

(-b +- sqrt b^2 - 4ac)/2a
2 +- sqrt(4 + 48(400))/-32
(2 +- 138.58)/-32
We don’t want a negative time because it’ll make no sense. So do subtraction

(2-138.58)/-32 = 4.27 seconds aka 4.3 seconds
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