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.

Answer 1

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.