To calculate a rocket’s position, velocity, and acceleration at different points in time. A rocket, initially at rest on the ground, accelerates straight upward with a constant acceleration of 58.8m/s^2 . The rocket accelerates for a period of 8.00s before exhausting its fuel. The rocket continues its ascent until its motion is halted by gravity. The rocket then enters free fall. Find the maximum height, y_max, reached by the rocket. Ignore air resistance and assume a constant acceleration due to gravity of 9.810 m/s^2 .