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A water rocket is launched froni a platform. The height, h in metres, of the water rocket at time & seconds after it is launch
Question
A water rocket is launched froni a platform. The height,
h in metres, of the water rocket at time & seconds after
it is launched is h= -212 + 74 + 4. When does the water
rocket hit the ground?
in progress
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Mathematics
5 years
2021-08-28T18:52:23+00:00
2021-08-28T18:52:23+00:00 1 Answers
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Answers ( )
Answer:
4.41seconds later
Step-by-step explanation:
Let the equation of the height reached by the water front be h = -2t^2+7t+4
The water hits the ground at h =0
Substitute
0 = -2t^2+7t+4
-2t^2+7t+4 = 0
2t^2 – 7t – 8 = 0
t = 7±√(-7)²-4(2)(-8)/2(2)
t = 7±√49+64/4
t = 7±√113/4
t = 7±10.63/4
t = 7+10.63/4
t = 17.3/4
t = 4.41s
Hence the water hit the ground 4.41seconda later