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 satisied - `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 the magnitude and direction of maximum velocity is important.
As maximum velocity in positive direction is `v_(0)` maximum velocity in opposite direction is also `v_(0).`
Maximum displacemtn in one direction `=v_(0) T` Maximum displacement in opposite directions`=- v _(0) T`
Therefore `-v_(0) T lt x lt v _(0)T`