Final answer:
To find the instantaneous velocity at a point on a position-time graph, calculate the slope of the graph at that point.
Step-by-step explanation:
The instantaneous velocity at a point can be found by calculating the slope of the position-time graph at that point. In this case, we are given a graph of x vs. t for a jet car. To find the instantaneous velocity at t = 25 s, we need to find the slope of the graph at that point.
To do this, we can draw a tangent line to the graph at t = 25 s and find the slope of that line. The slope of a line is given by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. In this case, we can choose two points close to t = 25 s and calculate the slope.
Once we have the slope, we can interpret it as the instantaneous velocity at t = 25 s. The slope will have units of distance / time, such as meters per second.