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_0T`
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`