In one dimensional motion, instantaneous speed `v` satisfies `(0 le v lt v_0)`.

Options

A. The displacement in time `T` must always take non-negative values
B. The displacement `x` in time `T` satisfies `-v_0 T lt x lt v_0 T`
C. The acceleration is always a non-negative number
D. The motion has no turning points

Answer

B

Explanation

For maximum and minimum displacement we have to keep in mind the magnitude and direction of maximum velocity.
As maximum velocity in positive direction is `v_0` maximum velocity in opposite direction is also `v_0`. Maximum displacement in one direction `= v_0 T`. Maximum displacement in opposite directions `= -v_0 T`
Hence, `- v_0 T lt x lt v_0 T`.