Asked by Josh
The height (ℎ, in metres) of the water at a certain point in a wave pool after � seconds, is modeled by the equation ℎ(t) = 2sin^2 t + sin t+ 2. Work in radians. Round to 2 decimals.
a) How high is the water after 3 seconds? (1 mark)
b) During the first 10 seconds, at what times does the wave height reach 3 metres? (5 marks)
a) How high is the water after 3 seconds? (1 mark)
b) During the first 10 seconds, at what times does the wave height reach 3 metres? (5 marks)
Answers
Answered by
oobleck
(a) just plug in t=3
(b) solve h(t) = 3
That is,
2sin^2 t + sin t+ 2 = 3
2sin^2 t + sin t - 1 = 0
(2sint-1)(sint+1) = 0
now finish it off
(b) solve h(t) = 3
That is,
2sin^2 t + sin t+ 2 = 3
2sin^2 t + sin t - 1 = 0
(2sint-1)(sint+1) = 0
now finish it off
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