Mathematics, 25.02.2020 18:03 aurorra
When joey dives off a diving board, the equation of his pathway can be modeled by h=-16tsquared+15t+12. Find joeys maximum height and the time it will take for joey to reach the water
Answers: 2
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to find the maximum height of quadratic polynomial 
. (i)
![16t^2-15t-12=0\\\\ t=\dfrac{-(-15)\pm\sqrt{(-15)^2-4(16)(-12)}}{2(16)}\\\\=\dfrac{15\pm\sqrt{225+768}}{32}=\dfrac{15\pm\sqrt{993} }{32}=\dfrac{15\pm31.512}{32}\\\\t=\dfrac{15-31.512}{32}\ \ or\ \ t=\dfrac{15+31.512}{32}\\\\t=-0.516\ or \ t=1.4535\approx1.45\\\\\Rightarrow\ t=1.45\ \ \ [\text{Time cannot be negative}]](/tpl/images/0523/3260/df7dc.png)
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When joey dives off a diving board, the equation of his pathway can be modeled by h=-16tsquared+15t+...
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