c
Given: Time period, $T=0.5$ sec
Amplitude, $\mathrm{A}=1 \mathrm{cm}$
Average velocity in the interval in which body moves from equilibrium to half of its amplitude, $\mathrm{v}=?$
Time taken to a displacement $A/2$ where $A$ is the amplitude of oscillation from the
mean position $^{\prime} \mathrm{O}^{\prime}$ is $\frac{\mathrm{T}}{12}$
Therefore, time, $t=\frac{0.5}{12} \mathrm{sec}$
Displacement, $s=\frac{A}{2}=\frac{1}{2} c m$
Average velocity, $v=\frac{\frac{A}{2}}{t}=\frac{\frac{1}{2}}{\frac{0.5}{12}}=12 \mathrm{cm} / \mathrm{s}$
