A skydiver who jumps out of a plane that has a forward velocity of 40 m/s. That means that the skydiver has a forward velocity of 40m/s. Ignore the air resistance.
The questions:
What difference is there between the downward velocities of the skydiver who jumped out of the helicopter (with no forward velocity) and the one who jumped out of a plane (with a forward velocity of 40 m/s?
To understand the difference in downward velocities between the skydiver who jumped out of a helicopter with no forward velocity and the one who jumped out of a plane with a forward velocity of 40 m/s, we need to consider the effect of the forward velocity and the force of gravity acting on the skydiver.
In the case of the skydiver jumping out of a helicopter with no forward velocity, the only force acting on the skydiver is gravity. As a result, the skydiver will experience an acceleration due to gravity in the downward direction. This acceleration is approximately 9.8 m/s^2 (ignoring air resistance).
On the other hand, when the skydiver jumps out of a plane that has a forward velocity of 40 m/s, the skydiver inherits this forward velocity initially. However, once in the air, the force of gravity will act on the skydiver, causing him or her to accelerate in the downward direction. The key thing to note here is that the forward velocity of the plane does not directly affect the downward acceleration experienced by the skydiver.
In both scenarios, the force of gravity will cause the skydiver to accelerate downward at the same rate of approximately 9.8 m/s^2. Therefore, the difference in downward velocities between the two skydivers would be negligible or nonexistent if we ignore air resistance.