Xander reached a final velocity of 4.5m/s in 3.5 seconds. Finley reached a final velocity of 3.6m/s in 4.2 seconds. Max reached a final velocity of 7.3m/s in 1.2 seconds. They all started at the same location from rest. Xanderarrow Finleyarrow Max Which lists them from least to most acceleration? Maxarrow Finleyarrow Xander Maxarrow Xanderarrow Finley Finleyarrow Xanderarrow Max

To determine the acceleration of each person, we can use the formula for acceleration:<br /><br />\[ a = \frac{\Delta v}{\Delta t} \]<br /><br />where \( \Delta v \) is the change in velocity and \( \Delta t \) is the time taken.<br /><br />1. **Xander's acceleration:**<br /> - Final velocity (\( v_f \)) = 4.5 m/s<br /> - Initial velocity (\( v_i \)) = 0 m/s (since they started from rest)<br /> - Time (\( t \)) = 3.5 s<br /><br /> \[ a_{\text{Xander}} = \frac{4.5 \, \text{m/s} - 0 \, \text{m/s}}{3.5 \, \text{s}} = \frac{4.5}{3.5} \approx 1.29 \, \text{m/s}^2 \]<br /><br />2. **Finley's acceleration:**<br /> - Final velocity (\( v_f \)) = 3.6 m/s<br /> - Initial velocity (\( v_i \)) = 0 m/s<br /> - Time (\( t \)) = 4.2 s<br /><br /> \[ a_{\text{Finley}} = \frac{3.6 \, \text{m/s} - 0 \, \text{m/s}}{4.2 \, \text{s}} = \frac{3.6}{4.2} \approx 0.86 \, \text{m/s}^2 \]<br /><br />3. **Max's acceleration:**<br /> - Final velocity (\( v_f \)) = 7.3 m/s<br /> - Initial velocity (\( v_i \)) = 0 m/s<br /> - Time (\( t \)) = 1.2 s<br /><br /> \[ a_{\text{Max}} = \frac{7.3 \, \text{m/s} - 0 \, \text{m/s}}{1.2 \, \text{s}} = \frac{7.3}{1.2} \approx 6.08 \, \text{m/s}^2 \]<br /><br />Now, let's list them from least to most acceleration:<br /><br />- Finley's acceleration: \( \approx 0.86 \, \text{m/s}^2 \)<br />- Xander's acceleration: \( \approx 1.29 \, \text{m/s}^2 \)<br />- Max's acceleration: \( \approx 6.08 \, \text{m/s}^2 \)<br /><br />Therefore, the correct order from least to most acceleration is:<br /><br />**Finley → Xander → Max**<br /><br />The correct answer is:<br /><br />\[ \text{Finley} \rightarrow \text{Xander} \rightarrow \text{Max} \]