Question

5 interpret the motion in the graph. distance (m) 0 3 6 9 12 15 time (s) time (s) distance (m) 9 21 12 28

Explanation:

Step1: Analyze the graph type

This is a distance - time graph. In a distance - time graph, the slope of the line represents the speed.

Step2: Calculate the speed

The formula for speed \(v=\frac{\Delta d}{\Delta t}\). Using the points \((t_1 = 9\ s,d_1=21\ m)\) and \((t_2 = 12\ s,d_2 = 28\ m)\).
\(\Delta t=t_2 - t_1=12 - 9=3\ s\), \(\Delta d=d_2 - d_1=28 - 21 = 7\ m\).
\(v=\frac{7}{3}\approx2.33\ m/s\).
Since the graph is a straight line (linear), the speed is constant.

Answer:

The object is moving at a constant speed. The speed can be calculated using the formula \(v = \frac{\Delta d}{\Delta t}\). For example, between \(t = 9\ s\) (\(d = 21\ m\)) and \(t=12\ s\) (\(d = 28\ m\)), \(v=\frac{28 - 21}{12 - 9}=\frac{7}{3}\approx2.33\ m/s\). So the motion is uniform (constant - speed) motion.