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A rock is thrown down from a cliff that is 180 m high. The function h(t) = -5t^2 – 10t + 180 gives the approximate height of the rock<
Question
A rock is thrown down from a cliff that is 180 m high. The function
h(t) = -5t^2 – 10t + 180 gives the approximate height of the rock
above the water, where h(t) is the height in metres and t is the time
in seconds. When will the rock reach a ledge that is 105 m above
the water?
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Mathematics
4 years
2021-07-18T03:39:28+00:00
2021-07-18T03:39:28+00:00 2 Answers
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Answers ( )
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Answer:
t = 3
Step-by-step explanation:
105 = -5t^2 -10t + 180
-75 = -5t^2 -10t
15 = t^2 +2t
t^2 +2t -15 = 0
(t+5)(t-3)
t = -5, 3
There’s no such thing as negative time so you use the positive answer