Question

Analysing the above two graphs find which runner will win the race.why?

Answer 1

We have displacement-time graph for runner A. Here, the graph is a straight line which indicates runner A is running at a constant velocity(uniform motion). You can directly find the displacement at any time from the graph.

But for runner B, we have velocity -time graph. Since the graph is a straight line with non-zero slope, the velocity is increasing i.e. it is an accelerated motion. To find the displacement of runner B at any time t, we need to find the area under the curve from time 0 to any time t.

Since there is no data about the distance for which they are competing and actual data points in either graph, we can not determine the velocity or displacement of either runner at a point of time. Hence we can not say who will win the race.