SOLUTION: A model for the path of a toy rocket is given by 68t-4.9t(squared), where h is the altitude in meters and t is the time in seconds. Explain how to find both the maximum altitude of

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: A model for the path of a toy rocket is given by 68t-4.9t(squared), where h is the altitude in meters and t is the time in seconds. Explain how to find both the maximum altitude of      Log On


   

Question 370229: A model for the path of a toy rocket is given by 68t-4.9t(squared), where h is the altitude in meters and t is the time in seconds. Explain how to find both the maximum altitude of the rocket and how long it takes to reach that altitude.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's a parabola. h(t) = -4.9t^2 + 68t
The time to max height is the line of symmetry, -b/2a
t = -b/2a = -68/-9.8
t = 340/49 seconds = ~ 6.939 seconds
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Max ht = h(340/49) = 566440/2401 meters
=~ 235.9 meters
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