Question

Read the graph and comment on its nature.

• A. Velocity of the particle is negative.
• B. Velocity of the particle is positive.
• C. Initial position of the particle is zero.
• D. Particle is at rest throughout the time.

Answer 1

The correct option is B Velocity of the particle is positive.

As per the graph given, the particle is at the position $x_0$ at $t=0$ i.e. initial position of the particle is $x_0$.
Since, the slope of the curve i.e. $\frac{dx}{dt}$, is positive, velocity of the particle is also positive.
Also, as the time passes, the position of the particle is changing, hence, particle is not at rest throughout the time.