Question

the chart shows the times and accelerations for three drivers.
driver | acceleration | time
kira | 5.2 m/s² | 6.9 sec
dustin | 8.3 m/s² | 3 sec
diego | 6.5 m/s² | 4.2 sec
which lists them from greatest to lowest change in velocity?
○ dustin → diego → kira
○ dustin → kira → diego
○ kira → dustin → diego
○ kira → diego → dustin

Explanation:

Step1: Recall the formula for acceleration

Acceleration \(a=\frac{\Delta v}{t}\), so \(\Delta v = a\times t\).

Step2: Calculate the change in velocity for each driver

• For Diego: \(\Delta v_{Diego}=6.5\times4.2 = 27.3\space m/s\)
• For Dustin: \(\Delta v_{Dustin}=8.3\times3=24.9\space m/s\)
• For Kira: \(\Delta v_{Kira}=5.2\times6.9 = 35.88\space m/s\)

Step3: Compare the values

\(35.88>27.3>24.9\), so \(Kira>Diego>Dustin\)

Answer:

Dustin → Diego → Kira