If we eliminate the effects of air resistance, objects dropped from the same heightWill double their velocity every second, indefinitelyWill accelerate at the same rate but land at different times, depending on the shape of the objectWill accelerate at different rates, depending on mass Will land at different times, depending on surface areaWill accelerate at the same rate and land at the same time

The correct answer is: "Will accelerate at the same rate and land at the same time".

This is based on the principle of free fall, which states that in the absence of air resistance, all objects near the surface of the earth fall with the same constant acceleration, regardless of their mass, shape, or surface area. This constant acceleration is due to gravity and is approximately 9.8 m/s² on the surface of the earth.

Here's a step-by-step explanation:

1. When an object is dropped from a certain height, it starts with an initial velocity of zero.

2. As it falls, it accelerates due to the force of gravity. This acceleration is constant and is the same for all objects, regardless of their properties.

3. Because the acceleration is constant, the velocity of the object increases linearly with time. This means that the object's speed will double every second.

4. Since all objects accelerate at the same rate, they will all reach the ground at the same time if dropped from the same height, regardless of their mass, shape, or surface area.

5. Therefore, in the absence of air resistance, all objects dropped from the same height will accelerate at the same rate and land at the same time.