Question

The figure shows the position of a particle moving on the $X$-axis as a function of time. Which of the following statements is correct?

• A. The particle comes to rest $6$ times.
• B. The maximum speed is at $t=6s$.
• C. The velocity remains positive for $t=0$ to $t=6s$.
• D. The average velocity for the total period shown is negative.

Answer 1

The correct option is A The particle comes to rest $6$ times.

The velocity is given by the slope of displacement $\left(x\right)$ vs. time $\left(t\right)$ curve.
$\overrightarrow{v}=\frac{dx}{dt}$
Since the slope becomes zero 6 times in the curve. Hence, velocity becomes zero 6 times.