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

Options

A. The displacement in time T must always take non-negative values
B. The displacement x in time T satisfies `-upsilon_(0)T lt x lt upsilon_(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 nind the magnitude and direction of maximum velocity. As maximum velocity in positive direction is `upsilon_(0)` maximum velocity in opposite is also `upsilon_(0)`. Maximum displacement in one direction `= upsilon_(0)T` Maximum displacement in opposite directions `=-upsilon_(0)T` Hence, `-upsilon_(0)T lt x lt upsilon_(0)T`.