SOLUTION: could you please help me with this question? how long does it take a ball to reach maximum height with the formula {{{h=-16t^2+64t+30}}} where h= height and t=seconds

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Question 691053: could you please help me with this question? how long does it take a ball to reach maximum height with the formula h=-16t%5E2%2B64t%2B30 where h= height and t=seconds
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
how long does it take a ball to reach maximum height with the formula h=-16t^2+24t+30 where h= height and t=seconds
:
The max height occurs at the axis of symmetry which we can find with the formula x = -b/(2a)
In this equatio
t = %28-24%29%2F%282%2A-16%29
t = %28-24%29%2F%28-32%29
t = +.75 seconds to reach max height
:
To find max height, replace t with .75
h = -16(.75^2) + 24(.75) + 30
h = -16(.5625) + 18 + 30
h = -9 + 18 + 30
h = 39 ft is max height occurring .75 seconds after launch
:
Here is a graph of that equation, showing this very clearly
+graph%28+300%2C+200%2C+-2%2C+3%2C+-10%2C+50%2C+-16x%5E2%2B24x%2B30%29+