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Answer :
It will take the rocket 0.875 seconds to reach its maximum height.
To find the time it takes for the rocket to reach its maximum height, we need to determine the vertex of the quadratic function h(t) = -16t^2 + 28t.
The vertex of a quadratic function in the form[tex]h(t) = at^2 + bt + c[/tex] is given by the formula t = -b / (2a).
In this case, a = -16 and b = 28. Substituting these values into the formula, we have:
[tex]y = 4x^2[/tex]
t = -28 / (-32)
t = 0.875
Therefore, it will take the rocket 0.875 seconds to reach its maximum height.
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