A particle covers half of its total distance with speed $y_1$ and the rest half distance with speed $y_2$.…
A particle covers half of its total distance with speed $y_1$ and the rest half distance with speed $y_2$. Its average speed during the complete journey is
$\frac{y_1 y_2}{y_1+y_2}$
$\frac{2 y_1 y_2}{y_1+y_2}$
$\frac{2 y_1^2 y_2^2}{y_1^2+y_2^2}$
$\frac{y_1+y_2}{2}$
Solution
Velocity $y=\frac{s}{t} \Rightarrow s=v t$ The average speed of particle
$\begin{aligned}
& y_{\mathrm{av}}=\frac{s+s}{\frac{s}{y_1}+\frac{s}{y_2}} \\
& y_{\mathrm{av}}=\frac{2 y_1 y_2}{y_1+y_2}
\end{aligned}$