What is the nature of the displacement time curve of a body moving with constant acceleration ?

Explanation

If a body starts form rest and moves along a straight line with a uniform acceleration ` a`, then the diplacement (x) of the body in time (t) is
` x =1/2 at^(2)` which is an equation of a parabola. Thus the displacement-time graph for a body moving with constant acceleration is a parabola.