Finding the maximum height of a rocket

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A rocket, initially at rest on the ground, accelerates straight upward from rest with constant net acceleration a, until time t_1, when the fuel is exhausted.

Find the maximum height H that the rocket reaches (neglecting air resistance).
Express the maximum height in terms of a, t_1, and/or g. Note that in this problem, g is a positive number equal to the magnitude of the acceleration due to gravity.

my answer is:
(at)^2/2g +1/2at^2

is that correct yet?
 
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hieule said:
A rocket, initially at rest on the ground, accelerates straight upward from rest with constant net acceleration a, until time t_1, when the fuel is exhausted.

Find the maximum height H that the rocket reaches (neglecting air resistance).
Express the maximum height in terms of a, t_1, and/or g. Note that in this problem, g is a positive number equal to the magnitude of the acceleration due to gravity.

my answer is:
(1/2)*(g)*(t1)^2

but that is incorrect

Your equation only shows the distance as far as when the fuel is gone. A rocket's path is a parabola.. when it shoots up and then runs out of fuel, it will go up a little more and then start to fall.
 

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