With regard to the last question. could any part of the speed line
ever become perfectly vertical? Why or Why not?

a. Yes, but only if the object stops moving
b. Yes, because eventually the speed would be so fast there would be no slope
c. No, because it would require such a high speed that it would
probably not be practical
d. No, because that would mean you were covering a distance in zero
elapsed time, which is impossible

Hi!!


The graph shows distance on the vertical axis and time on the
horizontal axis, this means that the graph is indicating the distance
traveled for each lapse of time.
If the speed line become perfectly vertical at the point t1 in the
horizontal axis, this will mean that at such instant t1 you have
traveled a distance D2-D1, where D1 and D2 are the points in the
vertical axis where the vertical speed line starts and ends
respectively. In that case you were covering a distance in zero
elapsed time, this is impossible. Then the correct answer is:

d. No, because that would mean you were covering a distance in zero
elapsed time, which is impossible.


Hope that this helps you. Feel free to request for a clarification if you need it.

Regards.
livioflores-ga