the chart shows the time, initial velocity, and final velocity of three riders.\n| rider | time | initial…

Answer:

Gabriella is slowing down at the same rate that Kendall is speeding up, and Franklin is not accelerating.

Explanation:

Step1: Calculate Gabriella's acceleration

Acceleration formula is $a=\frac{v_f - v_i}{t}$. For Gabriella, $v_i = 55$, $v_f=32$, $t = 10$. So $a_{Gabriella}=\frac{32 - 55}{10}=\frac{- 23}{10}=-2.3$.

Step2: Calculate Franklin's acceleration

For Franklin, $v_i = 50$, $v_f = 50$, $t=8.5$. So $a_{Franklin}=\frac{50 - 50}{8.5}=0$.

Step3: Calculate Kendall's acceleration

For Kendall, $v_i = 53.2$, $v_f = 67$, $t = 6$. So $a_{Kendall}=\frac{67 - 53.2}{6}=\frac{13.8}{6}=2.3$.

Step4: Analyze the results

The magnitude of Gabriella's acceleration ($2.3$) is the same as Kendall's acceleration magnitude, but Gabriella has negative acceleration (slowing - down) and Kendall has positive acceleration (speeding - up). Franklin has zero acceleration (not accelerating).