Mathematics: Aball is done the air with an upward velocity of 32 feet a second it’s height h in fee after t seconds is given by the function h=-16t^2+32t +6. a. in how many seconds does the ball reach its maximum height? round to the nearest hundredth if necessary. b. what is the balls maximum height? a. 1s; 22 ft b. 2s; 22 ft c. 1s; 54 ft d. 2s; 6ft

If the question is how many students are girls, than it s ten(10)....

Aball is done the air with an upward velocity of

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sallabar2496

12.03.2022

Mathematics

check the picture below.

so the ball reaches a maximum height at its vertex,

$\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ h=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+32}t\stackrel{\stackrel{c}{\downarrow }}{+6} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{32}{2(-16)}~~,~~6-\cfrac{32^2}{4(-16)} \right)\implies \left(\cfrac{32}{32}~~,~~6-\cfrac{1024}{-64} \right) \\\\\\ (1~~,~~6+16)\implies (\stackrel{seconds}{1}~,~\stackrel{\stackrel{feet}{high}}{22})$

Aball is done the air with an upward velocity of 32 feet a second it’s height h in fee after t secon

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