A student uses a spring loaded launcher to launch a marble vertically in the air. The mass of the marble is 0.08 kg and the spring constant is 188 N/m. What is the maximum height the marble can reach when compressed 5 cm?

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)