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Question
In one dimensional motion, instantaneous speed v satisfies 0 ≤ v < v0.
Options
The displacement in time T must always take non-negative values.
The displacement x in time T satisfies – v0T < x < v0T.
The acceleration is always a non-negative number.
The motion has no turning points.
Solution
The displacement x in time T satisfies – v0T < x < v0T.
Explanation:
We have the magnitude and direction of maximum and minimum velocity and also the value of the maximum and minimum displacement.
The maximum velocity in the positive direction is v0.
The maximum velocity in the negative direction is also v0
As a result, we can claim that the
Maximum displacement in the positive direction is = v0T
And the maximum displacement in the opposite direction is = – v0T.
As a result, the right statement is – v0T < x < v0T.
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