(Solved): Children are playing with a remote-controlled toy jeep in an open horizontal field. At some time, t ...

Children are playing with a remote-controlled toy jeep in an open horizontal field. At some time, the jeep is located (relative to a rock which they are using as the origin) at $${\vec{r}}_0=(13.0\hat{i}?7.50\hat{\mathbf{j}})\mathrm{m}$$ and has a velocity of $${\vec{v}}_0=(8.00\hat{\mathbf{i}}+3.00\hat{\mathbf{j}})\mathrm{m}/\mathrm{s}$$. If, for a time interval $$?t=10.0\mathrm{s}$$, the jeep experiences a constant acceleration $$\overrightarrow{\mathbf{a}}$$ and acquires a new velocity $$\overrightarrow{\mathbf{v}}=(2.00\hat{i}?19.50\mathbf{j})\mathrm{m}/\mathrm{s}$$, determine the following for the jeep. (Express your answer in vector form.) (a) position vector at time $$t=10.0\mathrm{s}$$ $$\vec{r}(t=10.05)=$$ (b) velocity vector time $$t=5.00\mathrm{s}$$ $$\vec{v}(t=5.00\mathrm{s})=\mathrm{m}/\mathrm{s}$$