How can we find speed in …

Calculation of Velocity using distance-time graph:

To calculate the velocity, let take two points A and B on the slope OB.

Draw one line parallel to y-axis and another parallel to x-axis from B.

Again draw a line parallel to y-axis and another parallel to x-axis from point A.

Let, line parallel to x-axis from point B cut at a point, S2 at y-axis.

Line parallel to x-axis from point A cut at point, S1 at y-axis.

Let, line parallel to y-axis from point B cut at t2 at x-axis.

Line parallel to y-axis from point A cut at t1 at x-axis.

Now, BC= Distance = S2 – S1 and AC = time = t2 – t1

We know that slope of the graph is given by the ratio of change in y-axis and change in X-axis.

Or, Slope = (text{Change in y-axis})/(text{Change in x-axis})`

Thus, slope, AB=BCACAB=BCAC

Or, v=s2−s1t2−t1v=s2-s1t2-t1

Where, vv= velocity, (s2−s1)(s2-s1) = interval of distance and (t2−t1)(t2-t1) = time interval

Thus, velocity=DistanceTimevelocity=DistanceTime