What equation defines linear velocity (v)?

The definition of linear velocity is grounded in the relationship between distance traveled and time taken. Linear velocity, represented by ( v ), is calculated as the distance ( s ) traveled over a time interval ( t ). The formula ( v = \frac{s}{t} ) clearly indicates that linear velocity is directly proportional to how far an object moves in a given time frame. This straightforward relationship applies to any object in motion along a straight path, making it a fundamental concept in physics.

In contrast, the other options pertain to different scenarios or formulas that do not define linear velocity directly. For example, the equation that involves radius and angle (angular displacement) reflects a rotational context rather than linear movement, while the others either combine terms inappropriately or reference motion in terms that do not apply to linear velocity. Understanding this clear definition aids in comprehending motion basics in both linear and rotational contexts.