Question

a from a balloon reaches the ground in 30 sec. Determine the height of the balloon of it is ascending with a speed of 100cm/s when the bomb is dropped

Answer 1

The equation of free fall is:

$$h = -v_0t +\dfrac{gt^2}{2}$$

where $v_0 = 100cm/s = 1m/s$ (- sign is due to opposite directions of $g$ and $v_0$) is the initial speed of the bomp, $t = 30s$ is the time of falling, and $g = 9.81m/s^2$ is the gravitational acceleration. $h$ is the height of the balloon. Thus, obtain:

$$h = -1\cdot 30 + \dfrac{9.81\cdot 30^2}{2} = 4384.5m$$

Answer. 4384.5 m.