Question

The chart shows the times and accelerations for three drivers.

Which lists them from greatest to lowest change in velocity?
a. Dustin → Diego → Kira
b. Dustin → Kira → Diego
c. Kira → Dustin → Diego
d. Kira → Diego → Dustin

Answer 1

D

Step-by-step explanation:

Answer 2

Let

D------> change in velocity in
`(m)/(s)}`

a------> acceleration in
`(m)/(s^(2))`

t-------> is the time in sec

we know that

`a=(D)/(t) \\ \\ D=a*t`

Find the change in velocity for each case

case 1) Kyra

`a=5.2\ (m)/(s^(2)) \\ \\ t=6.9\ s`

Substitute in the formula above

`D=a*t\\ D=5.2*6.9\\ D=35.88\ (m)/(s)`

case 2) Dustin

`a=8.3\ (m)/(s^(2)) \\ \\ t=3\ s`

Substitute in the formula above

`D=a*t\\ D=8.3*3\\ D=24.9\ (m)/(s)`

case 3) Diego

`a=6.5\ (m)/(s^(2)) \\ \\ t=4.2\ s`

Substitute in the formula above

`D=a*t\\ D=6.5*4.2\\ D=27.3\ (m)/(s)`

So

The list from greatest to lowest change in velocity is

Kira (
`35.88\ (m)/(s)`) → Diego (
`27.3\ (m)/(s)`) → Dustin (
`24.9\ (m)/(s)`)

therefore

the answer is the option

d. Kira → Diego → Dustin