1.

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

Answer»

The displacement in time T must always take non-negative values
The displacement X in time T satisied - `v_(0) T LT x lt V _(0) T`
The acceleration is always a non-negative number
The motion has no turning points

Solution :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`


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