Question

Nature of displacement-time graph for constant acceleration.

Answer 1

Displacement-time graph for constant acceleration:

1. Whenever a body starts at rest and proceeds in a straight line with such a uniform acceleration (a), its displacement (x) in time (t) equals $x=\frac{1}{2}a{t}^2$, which corresponds to a parabola equation.
2. As a result, the displacement-time graph for a body traveling at constant speed is a parabola.