Figures $(i)$ and $(ii)$ below show the displacement-time graphs of two particles moving along the x-axis. We can say that
Both the particles are having a uniformly accelerated motion
Both the particles are having a uniformly retarded motion
Particle $(i)$ is having a uniformly accelerated motion while particle $(ii)$ is having a uniformly retarded motion
Particle $(i)$ is having a uniformly retarded motion while particle $(ii)$ is having a uniformly accelerated motion
Figures $(i)$ and $(ii)$ below show the displacement-time graphs of two particles moving along the x-axis. We can say that
From equation of $2nd$ law of motion for uniform acceleration, we get $x=x_{o}+\frac{1}{2} a t^{2}$ Thus when acceleration or retardation is uniform, displacement time graph will be a parabola. In fig.
$ (i)$ The particle is accelerated uniformly and in fig.
$(ii)$ the particle is decelerated uniformly.
$ (i)$ The particle is accelerated uniformly and in fig.
$(ii)$ the particle is decelerated uniformly.