Mathematics, 16.11.2019 03:31 johnisawesome999
Aball is thrown from an initial height of 1 meter with an initial upward velocity of 15m/s. the ball's height h (in meters) after t seconds is given by the following.
h=1+15t-5t^2
find all values of t for which the ball's height is 6 meters. round your answer(s) to the nearest hundredth.
Answers: 1
![\bf t=\cfrac{-(-15)\pm\sqrt{(-15)^2-4(5)(5)}}{2(5)}\implies t=\cfrac{15\pm\sqrt{225-100}}{10} \\\\\\ t=\cfrac{15\pm\sqrt{125}}{10}\implies t=\cfrac{15\pm\sqrt{5^2 \cdot 5}}{10}\implies t=\cfrac{\stackrel{3}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\pm ~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\sqrt{5}}{\underset{2}{~~\begin{matrix} 10 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}](/tpl/images/0376/9557/01dad.png)
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Aball is thrown from an initial height of 1 meter with an initial upward velocity of 15m/s. the ball...
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