Let's analyze the motion diagram step by step: --- ## Step 1: **Understanding the Diagram** - The diagram shows the position of a drag racer every 2 seconds. - The horizontal axis is position \( x \) in meters. - Each black dot represents the racer’s position at a 2-second interval. - The arrows represent the motion between frames. --- ## Step 2: **Analyzing the Spacing** - The spacing between dots increases as you move to the right (along the x-axis). - This means the drag racer is covering more distance in the same time interval (2 s). - **Conclusion:** The drag racer is **accelerating**. --- ## Step 3: **Interpreting Velocity** - **Constant velocity:** Even spacing between the dots. - **Increasing velocity (acceleration):** Increasing spacing between the dots. - **Decreasing velocity (deceleration):** Decreasing spacing between the dots. Here, the spacing is increasing → **acceleration**. --- ## Step 4: **Calculation Example** Let’s estimate average velocity between first two points and last two points: - Suppose first two points: \( x_ = \) m, \( x_1 \approx 100 \) m. - Time between frames: \( \Delta t = 2 \) s. **Initial velocity:** \[ v_{initial} = \frac{x_1 - x_}{\Delta t} = \frac{100\,\text{m} - \,\text{m}}{2\,\text{s}} = 50\,\text{m/s} \] Suppose last two points: \( x_4 \approx 600 \) m, \( x_5 \approx 800 \) m. **Final velocity:** \[ v_{final} = \frac{x_5 - x_4}{\Delta t} = \frac{800\,\text{m} - 600\,\text{m}}{2\,\text{s}} = 100\,\text{m/s} \] --- ## Step 5: **Conclusion** - The drag racer’s velocity is **increasing** with time. - The motion is **accelerated motion** (not constant velocity). --- ### **Final Answer** > **The motion diagram shows that the drag racer is accelerating, as evidenced by the increasing distance between each position marker every 2 seconds.** --- Let me know if you want the calculation of acceleration or more details!