24/5 = (20 + 4)/5 = 20/5 + 4/5 = 4 + 4/5
= 4 4/5
Acceleration is the change in velocity with respect to the time. The acceleration of the car at segment C is -30 meter per second squared. Hence the option B is the correct option.
<h3>
Given information-</h3>
Segment A runs from 0 seconds 0 meters per second to 1 seconds 30 meters per second.
Segment B runs to 3 seconds 30 meters per second.
Segment C runs to 6 seconds 10 meters per second.
Segment D runs to 7 seconds 10 meters per second.
Segment E runs to 10 seconds 20 meters per second.
<h3>Acceleration</h3>
Acceleration is the change in velocity with respect to the time. Acceleration of a vector quantity which means it has both magnitude and the direction. It can be given as,

Here
denotes the time and
denotes the velocity of the body.
Acceleration at segment C,


Thus the acceleration of the car at segment C is -30 meter per second squared. Hence the option B is the correct option.
Learn more about the acceleration here;
brainly.com/question/2437624
For
to be conservative, we need to have



Integrate the first PDE with respect to
:

Differentiate with respect to
:

Now differentiate
with respect to
:

So we have

so
is indeed conservative.