A graph shows distance on the vertical axis and time on the horizontal axis. If the speed is steadily increasing, and becomes a curved line on the graph, could any part of the speed lone ever become perfectly vertical? Why or why not?
2 answers
Since slope on the distance time graph is velocity, it is hard to conceive that position changes instaneously.
A vertical line will have a gradient corresponding to a velocity where rise/run=rise/0 which is an infinite velocity. As nothing can move faster than the veloity of light, a vertical (infinite) gradient is impossible.
1 answer