Chapter 6, Problem 104AP

A particle of mass $m$is located at the origin. It is at rest and in equilibrium. A time-dependent force of $\stackrel{\to }{\text{F}}(t)$is applied a time $t=0$ , and its components are $F_x(t)=pt$and $F_y(t)=n+qt$where $p$ , $q$ , and $n$are constants. Find the position $\stackrel{\to }{\text{r}}(t)$and velocity $\stackrel{\to }{\text{v}}(t)$as functions of time $t$ .