You have just launched your new hot-air balloon and are hovering \(30.0 \mathrm{~m}\) above the ground. As you are checking equipment, the burner fails. You know that if you do nothing, the balloon will descend with a constant acceleration of \(1.50 \mathrm{~m} / \mathrm{s}^{2}\), and that the balloon's basket will be seriously damaged if it hits the ground with a momentum of \(2850 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}\) or more. The combined inertia of the balloon, basket, and all equipment and fuel is \(195 \mathrm{~kg}\), not counting yourself \((85.0 \mathrm{~kg})\) and ten \(5.00-\mathrm{kg}\) sandbags carricd as ballast. You make some quick calculations and take action to save the day.