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Q.

In one dimensional motion, instantaneous speed v satisfies 0 ≤ v < v0. Then, which of the following statement is true?

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a

The displacement in time T must always take non-negative values.

b

The displacement x in time T satisfies -v0 T < x < v0T.

c

The acceleration is always a non-negative number.

d

The motion has no turning points.

answer is B.

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Detailed Solution

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 v0 maximum velocity in opposite direction is also v0.Maximum displacement in one direction = v0TMaximum displacement in opposite directions = -v0THence, -v0 T < x < v0T.
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In one dimensional motion, instantaneous speed v satisfies 0 ≤ v < v0. Then, which of the following statement is true?