Prompt
Please create a solution layout for a mathematics problem with a paper-texture background. Requirements: split the canvas into left and right sections—\emph{left:} schematic of the plan (arrows/notes, scale, directions); \emph{right:} step-by-step derivation. Use consistent annotations in the figure: known quantities, unknowns, key relations, and coordinate axes or normals. Box the final answer and include a check. \textbf{Problem:} Given $v_0=20\,\text{m/s}$ and $\theta=30^\circ$, find the time of flight, the maximum height, and the range, and output the position at $t=1\,\text{s}$. Take $g=10\,\text{m/s}^2$. draw the question and solution.