Final answer:
The separation between two objects dropped from a bridge at different times will increase during their fall when air resistance is negligible, due to constant gravitational acceleration.
Step-by-step explanation:
When two objects are released from the same height at different times and air resistance is negligible, their separation increases over time because they are both in free-fall under the force of gravity. Since gravity accelerates all objects at the same rate regardless of their mass, and the second object starts its fall 1.0 s after the first, it will always be behind by that 1.0 s of free-fall, which means their separation will increase as they both continue to fall. Given that gravity acts on the objects at an acceleration of 9.80 m/s², the second object is always getting farther away from the first because it has not reached the same velocity as the first object at any given instant after being released.