Question

what is the nature of the distance time graph for accelerated motion

Answer 1

For an accelerated motion, the distance-time graph is not a straight line.

For a uniform acceleration, the graph is a parabola.

Attached figure shows the graph for a uniformly accelerated motion.

For non uniform acceleration, the graph has irregular shape.

Answer 2

Answer: The graph is a curve ( hyperbola). The slope of the graph gives velocity. This is the nature of dt graph for uniformly accelerated motion.

Hope it helps