When observing an object's motion, a position vs. time graph provides clear visual insight. In a scenario where the horse moves with a constant velocity, the graph displays a straight line. This reflects the linear relationship between position and time.For the horse initially positioned at \(x = 4.3\, \text{m}\) moving at \(v = 6.7\, \text{m/s}\) over \(t = 0\) to \(5.0\, \text{s}\), the graph gives a clear visual representation:
- At \(t = 0\), the position is \(4.3\, \text{m}\).
- At \(t = 5.0\), the calculated position is \(37.8\, \text{m}\), derived from the equation \(x(5.0) = 4.3 + 6.7 \times 5.0\).
The straight line connecting these points indicates steady, unvarying motion. This representation helps students develop an intuitive understanding of how objects travel in a linear and predictable pattern during constant velocity motion.