(Solved): A rocket, initially at rest on the ground, accelerates straight upward from rest with constant (net ...

A rocket, initially at rest on the ground, accelerates straight upward from rest with constant (net) acceleration $53.9\mathrm{m}/{\mathrm{s}}^2$. The acceleration period lasts Find the maximum height $y_{\max }$ reached by the rocket. Ignore air resistance and assume a constant free-fall acceleration equal to for time $10.0\mathrm{s}$ until the fuel is exhausted. After that, $9.80\mathrm{m}/{\mathrm{s}}^2$. the rocket is in free fall. Write your answer numerically in units of meters.