Question

interpret the motion in the graph.
interpret the motion in the graph

Explanation:

Step1: Analyze the graph type

The graph is a distance - time graph. In a distance - time graph, the slope represents the speed.

Step2: Calculate the speed

Take two points from the graph. For example, when \(t = 12s\), \(d=36m\). The speed \(v=\frac{d}{t}\). Substituting \(d = 36m\) and \(t = 12s\), we get \(v=\frac{36}{12}=3m/s\).

Step3: Fill the table

For \(t = 12s\), from the graph \(d = 36m\). For \(d = 48m\), using \(v = 3m/s\) and \(v=\frac{d}{t}\), we can solve for \(t\). Rearranging the formula \(t=\frac{d}{v}\), substituting \(d = 48m\) and \(v = 3m/s\), we get \(t=\frac{48}{3}=16s\).

Answer:

Time (s)	Distance (m)
16	48

The object is moving at a constant speed of \(3m/s\) (since the distance - time graph is a straight line, indicating uniform motion).