Q10

A particle is moving along a straight line. At time $t$, its velocity is $v$ and its displacement from a fixed origin is $x$.

If

$$\frac{dv}{dx}=\frac{1}{2v},$$

which of the following best describes the particle’s acceleration and velocity?

(A) Constant acceleration and constant velocity

(B) Constant acceleration and decreasing velocity

(C) Constant acceleration and increasing velocity

(D) Increasing acceleration and increasing velocity