State whether the following statement is true or false:
$A$ motion is said to be uniform if $x \propto t^{2}$.
$A$ motion is said to be uniform if $x \propto t^{2}$.
(B) The statement is $False$.
In uniform motion,an object covers equal distances in equal intervals of time,which implies a constant velocity.
For uniform motion,the position $x$ is related to time $t$ by the linear equation $x = vt + x_0$,meaning $x \propto t$.
If $x \propto t^{2}$,the motion represents constant acceleration (non-uniform motion),as the velocity $v = dx/dt$ would be proportional to $t$ $(v \propto t)$.
In uniform motion,an object covers equal distances in equal intervals of time,which implies a constant velocity.
For uniform motion,the position $x$ is related to time $t$ by the linear equation $x = vt + x_0$,meaning $x \propto t$.
If $x \propto t^{2}$,the motion represents constant acceleration (non-uniform motion),as the velocity $v = dx/dt$ would be proportional to $t$ $(v \propto t)$.
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