Final answer:
An example where instantaneous velocity changes throughout a trip could be a car journey that involves accelerating and decelerating, or a sprinter's changing speed during a race. The car's speedometer shows the instantaneous speed, while the sprinter's differing speeds at various race stages reflect changing instantaneous velocities.
Step-by-step explanation:
Example of Instantaneous Velocity Change
An example of where the instantaneous velocity would change throughout a trip is when a car travels on a journey of 3.2 hours. On this trip, the car's speed would likely increase when accelerating and decrease when slowing down for traffic signals or turning. What is displayed by the car's speedometer is essentially the instantaneous speed at any given moment, reflecting these changes.
Another scenario is a runner in a race who may start with a burst of speed, slow down, and then sprint to the finish line. The velocity of the sprinters changes throughout the race, making their instantaneous velocity different at the start, during, and at the end of the race, despite perhaps having the same average velocity for the entire race.
When analyzing motion in detail, we look at smaller time intervals and ultimately consider an infinitesimal interval. At this scale, the average velocity over the interval is the instantaneous velocity, which is the velocity at a specific instant in time. For example, an airplane passenger walking towards the back of a plane may have an instantaneous velocity of -3.0 m/s (the negative sign indicating the direction toward the rear) and an instantaneous speed of 3.0 m/s without directionality.