iran-konkur 2013 Q190

iran-konkur · Other · konkur-riazi_1392 Not Maths
190. The velocity–time graph of a simple harmonic oscillator is shown in the figure below. Which of the time intervals shown in the figure does NOT have the greatest magnitude of average acceleration?
[Figure: velocity–time graph of simple harmonic motion showing intervals $\frac{T}{4}$, $\frac{3T}{4}$, and $T$ marked on the time axis]
$$ (1)\quad \left(\frac{T}{2} \text{ to } \frac{T}{4}\right) \text{ and } \left(\frac{3T}{4} \text{ to } \frac{T}{2}\right) $$ $$ (2)\quad \left(\frac{3T}{4} \text{ to } \frac{T}{4}\right) \text{ and } \left(0 \text{ to } T\right) $$ $$ (3)\quad \left(0 \text{ to } \frac{T}{2}\right) \text{ and } \left(\frac{T}{2} \text{ to } T\right) $$ $$ (4)\quad \left(0 \text{ to } \frac{T}{2}\right) \text{ and } \left(\frac{3T}{4} \text{ to } \frac{T}{4}\right) $$
\textbf{190.} The velocity–time graph of a simple harmonic oscillator is shown in the figure below. Which of the time intervals shown in the figure does NOT have the greatest magnitude of average acceleration?

\textit{[Figure: velocity–time graph of simple harmonic motion showing intervals $\frac{T}{4}$, $\frac{3T}{4}$, and $T$ marked on the time axis]}

$$
(1)\quad \left(\frac{T}{2} \text{ to } \frac{T}{4}\right) \text{ and } \left(\frac{3T}{4} \text{ to } \frac{T}{2}\right)
$$
$$
(2)\quad \left(\frac{3T}{4} \text{ to } \frac{T}{4}\right) \text{ and } \left(0 \text{ to } T\right)
$$
$$
(3)\quad \left(0 \text{ to } \frac{T}{2}\right) \text{ and } \left(\frac{T}{2} \text{ to } T\right)
$$
$$
(4)\quad \left(0 \text{ to } \frac{T}{2}\right) \text{ and } \left(\frac{3T}{4} \text{ to } \frac{T}{4}\right)
$$