Let's break down the step-by-step solution for converting the data in the table (frame number, x and y in pixels) to time (seconds), and x and y in meters. ### Given Data | t (frame #) | x (pixels) | y (pixels) | t (s) | x (m) | y (m) | |:-----------:|:----------:|:----------:|:-----:|:-----:|:-----:| | 16 | 277 | 350 | | | | ### Step 1: Convert Frame Number to Time (seconds) **Assumption:** You need the frame rate of the camera (frames per second, fps) to do the conversion. Typically, let's assume the video is 30 fps (check your lab manual if a different value is given). Formula: \[ t\ (\text{s}) = \frac{\text{frame number}}{\text{frames per second}} \] So, \[ t\ (\text{s}) = \frac{16}{30} = .533\ \text{s} \] --- ### Step 2: Convert Pixels to Meters **Assumption:** You need the scale (meters per pixel). Suppose from calibration, you know **1 pixel = .002 meters** (find this value in your lab setup; this is an example). Formulas: \[ x\ (\text{m}) = x\ (\text{pixels}) \times \text{meters per pixel} \] \[ y\ (\text{m}) = y\ (\text{pixels}) \times \text{meters per pixel} \] So, \[ x\ (\text{m}) = 277 \times .002 = .554\ \text{m} \] \[ y\ (\text{m}) = 350 \times .002 = .700\ \text{m} \] --- ### Step 3: Fill in the Table | t (frame #) | x (pixels) | y (pixels) | t (s) | x (m) | y (m) | |:-----------:|:----------:|:----------:|:-------:|:------:|:------:| | 16 | 277 | 350 | .533 | .554 | .700 | --- ## **Final Answers** - **t (s):** .533 s - **x (m):** .554 m - **y (m):** .700 m --- > **Note:** > Use your actual video frame rate and pixel-to-meter conversion factor as applicable to your experiment. The numbers above use typical values for illustration. Let me know if you have your actual calibration value or fps, and I can update the calculation!