Question

Two objects are dropped from a bridge an interval of 1.0s apart. Air resistance is negligible. During the time that both objects continue to fall, their separation increases.

Can someone explain why it increases, instead of staying constant?

Answer 1

Their separation would be constant if they were both falling at the same speed. But they're not. A falling object falls 9.8 m/s faster every second than it fell in the previous second.

So the one that dropped first ... and had an extra second to fall ... is always falling faster than the one that dropped later. So it keeps getting farther ahead.

Answer 2

If the two objects are dropped at 1.0 s time interval, their velocity will increase as they descend which will cause their separation distance to increase because velocity is directly proportional to displacement.

The rate at which each object falls is influenced by their respective weights. If air resistance is negligible, gravity will continue to pull each object until it hits the ground.

The influence of gravity will cause the following:

• The speed of each object will increase gradually until it hits the ground, and each object will have maximum velocity before it hits the ground.
• This shows that velocity of each object increases as it descends.

• Velocity is directly proportional to displacement, as the velocity of each object increases, the distance between them will also increase.

Thus, if the two objects are dropped at 1.0 s time interval, their velocity will increase as they descend which will cause their separation distance to increase because velocity is directly proportional to displacement.

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