Can someone tell me why the answer to this is 4?

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Can someone tell me why the answer to this is 4?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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If h(t) represents the height of an object above ground level at time t and h(t) is given by: h(t)=-16t^2+14t+1 find the height of the object when at the time when the speed is zero. h(t)=
I posted this question before but never got a clear explanation
speed is zero when it has gone up as far as it can and starts coming back down. that will be at the vertex of this parabola. find the vertex via \[-\frac{b}{2a}\] and that will give you the time. replace t by that number and you will get the max height

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here \[a=-16, b = 14,-\frac{b}{2a}=-\frac{14}{2\times -16}=\frac{7}{16}\]
then find \[h(\frac{7}{16})\]a nd i guess (although i did not do it) you will get 4. if not then the answer is whatever you get
OK THANKS!!!!!!!
yw

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