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# (Originais Teachy 2023) - Question Medium of Math

In a rocket contest, a group of students used the quadratic equation to predict the maximum height their rocket would reach. According to their calculations, the height (h) of the rocket in meters, relative to time (t) in seconds, is given by the function h(t) = -5t² + 30t + 2. What is the maximum height the rocket will reach and how long will it take?
a.
Maximum height: 47 meters, Time: 3 seconds
b.
Maximum height: 50 meters, Time: 3 seconds
c.
Maximum height: 47 meters, Time: 4 seconds
d.
Maximum height: 45 meters, Time: 2 seconds
e.
Maximum height: 42 meters, Time: 3 seconds

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