If a Car Has An $x$ -Acceleration Of $a_{x}(t)=-b t+c$ , and Its Initial

Multiple Choice

If a car has an $x$ -acceleration of $a_{x}(t) =-b t+c$ , and its initial $x$ -velocity at time $t=0$ is $v_{x}(0) =v_{0}$ , which function below best describes $v_{x}(t)$ ?

A) $-\mathrm{b}$
B) $-b+v_{0}$
C) $1 / 2 b_{t}{ }^{2}+c_{t}+v_{0}$
D) $-\mathbf{1} / \mathbf{2} b_{t}{ }^{2}+c_{t}+v_{0}$
E) $-2 b_{t}{ }^{2}+v_{0}$
F) $-1 / 2 b_{t}{ }^{2}+v_{0}$