Solving for ds/dt: Is the Answer C?

[Arun Raja]

Homework Statement

http://puu.sh/c0mFR/515cf5fd15.png

Homework Equations

ds/dt=dv

The Attempt at a Solution

I think answer is C by observation.
Is it correct? if not what is the answer[/B]

 

[gneill]

You make an unsupported (by formula or calculation) guess and then ask for the answer? I don't think so.

You might consider some of the basic kinematic equations relating acceleration to velocity to position. The velocity graph consists of straight line segments, what does that tell you about the form of equation that would fit them?

Play around with the basics to get a feel for it. For example, assume a constant acceleration so that v = a*t. What's the shape of the velocity curve? The position curve? Can you apply what you find out here?