Chapter 3.2, Problem 64E

The acceleration function, initial velocity, and initial position of a particle are $\text{a}\left(t\right)=-5\cos t\text{i}-5\sin t\text{j},v\left(0\right)=9\text{i}+2\text{j}$ , and $\text{r}\left(0\right)=5i$ . Find $\text{v}\left(t\right)$ and $\text{r}\left(t\right)$ .