h=-16t^2+176t+1280
what do you do? Factor?
I can see from the above equation that : \(\cfrac{h}{16} = \cfrac{-16t^2 + 176t + 1280}{16} \) would be the first step as reducing it makes factorization easy!
n the question say a rockeyi s fired upward from some intital distance. its height in feet, h above the ground t seconds after it is fired is given by h=-16t^2+176t+1280
What you need to do? Find t ? or h? or something else?
what is the rocket max height (feet) and how long it take to reach hte max height (time)
Heck, you don't even have to factor this thing. Just find the vertex of the parabola by using the form t=-b/2a to find the time, substitute the time back into the equation to find your max height. b is the coefficient of your first power term, and a is the coefficieent of your 2nd power term.
dh/dt = 0 , find t , substitute that t in h to find max. height.
May not be in calculus, so using algebra is safe.
so ans. h=1764 at t=5.5
ok then vertex method is for you.
I like using that method for finding the vertex anyway. I use it all the time with my students in class.
what does d and h mean
Don't worry about it, cc, it only applies to you if you are in a caculus class.
oops...calculus too.
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