november 27 - november 28\nq. in your own words, explain how velocity can have components in two different…

Brief Explanations:

Velocity is a vector, so it has both magnitude and direction. When an object moves in a plane (2D), its velocity can be split into perpendicular components (e.g., north-south and east-west) that describe its motion in each direction independently. For the river crossing example: if a boat aims north (velocity $\vec{v}_y$) to go from school to home but the river flows east (velocity $\vec{v}_x$), the boat’s total velocity $\vec{v}_T$ is the vector sum of $\vec{v}_y$ and $\vec{v}_x$. Vector addition uses the parallelogram rule—components are added separately (no mixing of perpendicular directions), so the boat moves northeast to a landing point east of home instead of directly north.

Answer:

Velocity (a vector) has perpendicular components describing 2D motion. In river crossing, boat's northward velocity ($\vec{v}_y$) and river's eastward velocity ($\vec{v}_x$) add vectorially (parallelogram rule) to give total velocity ($\vec{v}_T$), moving the boat northeast.