A swimming area in a rotating space habitat is located in a region of 1/4 g. If a diver can jump 1 m high in a 1-g region, how high can the same diver jump in the swimming area

The diver can jump a height of 4m in the swimming area.

Explanation:

Using the kinematics equation of the final velocity in terms of the distance, we have that:

Since the final velocity is zero (because the diver comes to a stop in his maximum height), we conclude:

If we assume that the initial velocity is conserved (as the diver jumps with this initial velocity every time), we obtain:

In words, the diver can jump a height of 4m in the swimming area.

d. air pressure decreases as altitude increases.