6.4 Exercise 31

Located at the origin, an electric car of mass m is at rest and in equilibrium. A time dependent force of $\overset{\rightarrow}{F} \left(t\right)$ is applied at time $t = 0$, and its components are $F_{x} \left(t\right) = p + n t$ and $F_{y} \left(t\right) = q t$ where p, q, and n are constants. Find the position $\overset{\rightarrow}{r} \left(t\right)$ and velocity $\overset{\rightarrow}{v} \left(t\right)$ as functions of time t.