Arocket accelerates at 25m/s^2 for 5s before it runs out of fuel and dies. what is the maximum height reached by the rocket?

Ahot-air balloon takes off from the ground traveling vertically with a constant upward acceleration of magnitude g/4. after time interval δt, a crew member releases a ballast sandbag from the basket attached to the balloon. how many seconds does it take the sandbag to reach the ground? (express your answer in terms of δt)