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A ball is thrown from an initial height of 7 feet with an initial upward velocity of 17ft/s . The ball's height h (in feet) after seconds t is given by the following.. h=7+17t-16t^2. . Find all values of t for which the ball's height is 11 feet.. Round your answer(s) to the nearest hundredth.. (If there is more than one answer, use the \"or\" button.).

Respuesta :

HomertheGenius
h = 7 + 17 t -16 t²
h = 11 ft.
11 = 7 + 17 t - 16 t²
16 t² - 17 t + 4 = 0
[tex] t_{1} = \frac{17- \sqrt{289 - 256} }{32}= \frac{17-5.7456}{32} [/tex]
t 1 = 0.34 s
[tex] t_{2} = \frac{17+5.7456}{32} [/tex]
t 2 = 0.71 s

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