Question

When the velocity is variable i.e., when the motion is accelerated. The displacement - time graph will not be straight line since the displacement will not be proportional to the time because ‘v’ is not constant; but it will be a curve, the nature of the curve depending of the nature of the variation in the velocity. Draw a graph to illustrate this.

Answer 1

Displacement-time graph when velocity is variable.

The velocity at any instant, say at P is given by the gradient at P. To find t, draw a tangent QPR at P, Draw RS perpendicular. Then RS/QS the gradient at P will be the velocity at P. You will find that this velocity is not the same at all points on the graph (i.e., at all points on the journey).