A rocket, initially at rest on the ground, accelerates straight upward from rest with constant net acceleration a, until time t1 , 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, t1, and/or g. Note that in this problem, is a positive number equal to the magnitude of the acceleration due to gravity.

Question

A rocket, initially at rest on the ground, accelerates straight upward from rest with constant net acceleration a, until time t1 , 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,  t1, and/or g. Note that in this problem,  is a positive number equal to the magnitude of the acceleration due to gravity.