Arocket, initially at rest on the ground, accelerates straight upward from rest with constant acceleration 44.1m/s^2 . the acceleration period lasts for time 7.00s until the fuel is exhausted. after that, the rocket is in free fall. find the maximum height y_max reached by the rocket. ignore air resistance and assume a constant acceleration due to gravity equal to 9.80 rm{m/s^2} .