Final answer:
To find the instantaneous velocity of the jet car at a time of 25 s, we can calculate the slope of the x vs. t graph by finding the average velocity between two close points near 25 s and taking the limit as the time interval approaches zero.
Step-by-step explanation:
To find the instantaneous rate of change for the function at a given value, we need to find the slope of the function at that point. In this case, we are asked to find the velocity of the jet car at a time of 25 s by finding the slope of the x vs. t graph. To do this, we can calculate the average velocity between two close points on the graph that are very close to 25 s, and then take the limit as the time interval approaches zero, which will give us the instantaneous velocity.
In the x vs. t graph, find two points close to 25 s, for example, (24, 192) and (26, 208). Calculate the slope between these two points as (208 - 192) / (26 - 24) = 8. Taking the limit as the time interval approaches zero, the instantaneous velocity at 25 s is 8.