Question

which of these dot diagrams represents a free falling object dropped from rest?

Explanation:

Step1: Understand free - fall motion

A free - falling object dropped from rest has a constant acceleration (due to gravity, approximately $g = 9.8\ m/s^{2}$ near the Earth's surface). This means its velocity increases uniformly with time. In a dot - diagram, the distance between consecutive dots should increase as time progresses because the object covers more distance in each successive equal time interval as its speed increases.

Step2: Analyze dot - diagrams

We look for a dot - diagram where the spacing between dots starts small (since the object starts from rest) and gradually increases.

Answer:

(Without seeing the actual dot - diagrams A, B, C, D, we can't give a specific letter answer. But the correct dot - diagram should have dots that start close together and get farther apart as we move along the diagram representing the passage of time.)