What would this distance time graph look like?

Question

"A d-t graph of a person running with uniform motion then gradually slowing down to a complete stop"

i put time on the x axis and distance on the y,
and my graph looks like a pyramid...
is that right?

Answer 1

it sounds like the y-axis (vertical) is measuring the total distance traveled. If that is correct, then the line will move upward or flat, but will never move back down. Because no matter how slow they run, they always get to keep the distance they've already gone! [unless they run backward, I suppose! :-) ]
So, if my little graph works, then this is how the graph would look for a runner who runs the same speed for a while, then slows down, then stops:

____________________*___*___ *****
_______________*_______________
___________*___________________
________*____________|___________
______*____|____________________
____*__________________________
__*_Uniform_|_Slowing__|__Stopped__
* 

Answer 2

No. Uniform motion means that distance changes at a constant rate with time. So thefirst part of the graph looks like a line at some positive ange to the time axis (assuming time in on the horizontal axis).

Now the runner slows down so they are no longer in uniform motion. At the point in time when this occurs, the graph begins to take the shape of a parabola starting at the d-t point where the slow down begins and ending at the time the person stops running. So the graph is not a pyramid.

Answer 3

Nope.

Your graph should be an increasing x and y axis with the same gradient till a point, then the gradient would decrease and eventually reaching a straight horizontal line. This is because although the person is slowing down, he is effectively still travelling and hence covering distance, so the distance would not decrease.

Answer 4

_______________________________________

Initially the motion is uniform, the distance time relation is linear, the d-t graph is a straight line inclined to time axis.

The slope of d-t straight line graph gives uniform velocity of person.

When the man starts slowing down, his velocity decreases, hence the slope of d-t graph continuously decreases

During the time person is slowing down , the d-t graph is parabolic curve

The graph becomes a line parallel to time axis when the person stops.

Thus, the d-t graph is starting from origin as a straight line inclined to time axis , then it is a parabolic curve and finally it is a straight line parallel to time axis

The graph is first half of a pyramid consisting of rising part. The graph does not bend downwards to touch the time axis.
Finally graph is parallel to time axis
___________________________________
___________________________________________