To determine the acceleration of each individual, we can use the formula for acceleration:
\[ a = \frac{\Delta v}{\Delta t} \]
where
- \( \Delta v \) is the change in velocity (final velocity - initial velocity),
- \( \Delta t \) is the change in time.
Given that all of them started from rest, the initial velocity is 0 m/s. Therefore, the acceleration for each individual can be calculated as follows:
-
Xander:
- Final Velocity (\( v_f \)) = 4.5 m/s
- Time (\( t \)) = 3.5 s
- Acceleration (\( a \)) = \(\frac{4.5 , \text{m/s}}{3.5 , \text{s}} \approx 1.29 , \text{m/s}^2\)
-
Finley:
- Final Velocity (\( v_f \)) = 3.6 m/s
- Time (\( t \)) = 4.2 s
- Acceleration (\( a \)) = \(\frac{3.6 , \text{m/s}}{4.2 , \text{s}} \approx 0.857 , \text{m/s}^2\)
-
Max:
- Final Velocity (\( v_f \)) = 7.3 m/s
- Time (\( t \)) = 1.2 s
- Acceleration (\( a \)) = \(\frac{7.3 , \text{m/s}}{1.2 , \text{s}} \approx 6.08 , \text{m/s}^2\)
Now we can summarize the accelerations:
- Xander: \(1.29 , \text{m/s}^2\)
- Finley: \(0.857 , \text{m/s}^2\)
- Max: \(6.08 , \text{m/s}^2\)
Now, listing them from least to most acceleration:
- Finley: \(0.857 , \text{m/s}^2\)
- Xander: \(1.29 , \text{m/s}^2\)
- Max: \(6.08 , \text{m/s}^2\)
Thus, the correct order from least to most acceleration is:
Finley, Xander, Max.