No, it is not possible for an object to produce an absolutely vertical line on a velocity-time graph.
A velocity-time graph represents how an object’s velocity changes over time. The vertical axis shows velocity, while the horizontal axis represents time. An absolutely vertical line on this graph would indicate that the velocity of the object is changing instantaneously. However, in physics, velocity cannot change instantaneously without an infinite force, which is not feasible based on our understanding of the laws of motion.
In the real world, all motions take a finite amount of time, and any change in velocity involves acceleration. Therefore, even if an object were to accelerate very rapidly, there would still be a small but measurable amount of time during which that change occurs. This means that changes in velocity will always be represented on a graph with a slope, rather than as a vertical line.
In conclusion, while an object can change its velocity extremely quickly, the fundamental principles of physics ensure that this change cannot be depicted as a vertical line on a velocity-time graph.