Question

What is the nature of distance time graph for the motion of an object moving with (1) a constant speed (2) changing speed?

Answer 1

For a constant speed, the nature is a straight line with constant slope.

For a changing speed, the nature is a curved line with increasing or decreasing slope

Answer 2

1) constant speed - the slope of the graph is uniform (nature of the graph = straight line)

2) changing speed - it means that the body has acceleration and thus nature of the curve is a parabola