Question

an object is released from a stationary hot air balloon at height h above the ground. an identical object is released at height h above the ground from another balloon that is rising at constant speed. air resistance is negligible. what does not increase for the object released from the rising balloon? a. the distance through which it falls b. the time taken for it to reach the ground c. the speed with which it reaches the ground d. its acceleration

Explanation:

When an object is released from a stationary balloon, it has an initial velocity of 0. When released from a rising balloon, it has an initial upward velocity. The acceleration due to gravity \(g\) is constant near the Earth's surface (\(g\approx9.8\ m/s^{2}\)) and is not affected by the initial motion of the balloon. The distance it falls is greater for the rising - balloon case as it first goes up before coming down. The time taken to reach the ground is less for the rising - balloon case due to the initial upward velocity. The speed when it reaches the ground is greater for the rising - balloon case as it has an initial velocity component. But the acceleration of both objects is \(g\) (downward) and remains constant.

Answer:

D. Its acceleration