If in one-dimensional motion, instantaneous speed \(v\) satisfies \(0\leq v<v_0,\) then:

1. the displacement in time \(T\) must always take non-negative values.
2. the displacement \(x\) in time \(T\) satisfies  \(-{v_0T} \lt x \lt {v_0T}.\)
3. the acceleration is always a non-negative number.
4. the motion has no turning points.