Mathematics, 31.01.2020 10:59 clay373
Can someone explain how to do this? i've watched every video possible for this topic and i'm doing something wrong still
a model rocket is launched with an initial upward velocity of
54/ms. the rocket's height h (in meters) after t seconds is given by the following h= 54t-5t^2. find all values of t for which the rocket's height is 26 meters.
round your answer(s) to the nearest hundredth.
Answers: 3
![54t-5t^2=26 \\ -5t^2+54t-26=0 \ \ \ \ \text{divide both sides by (-1)} \\ 5t^2-54t+26=0 \\ \\ t_{1,2}= \cfrac{54б \sqrt{(-54)^2-4*5*26} }{2*5} = \cfrac{54б \sqrt{2396} }{10}= \cfrac{54б 48.949 }{10} \\ \\ t_1= \cfrac{54- 48.949}{10}=0.50 \ seconds \ \ \text{[to the nearest hundredth]} \\ \\ t_2= \cfrac{54+ 48.949}{10}=10.29 \ seconds \ \ \text{[to the nearest hundredth]}](/tpl/images/0489/5326/44390.png)
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