question_answer

A particle is moving in a straight line. It covers two different distances \[{{s}_{1}}\]and \[{{s}_{2}}\]with speeds \[{{v}_{1}}\] and\[{{v}_{2}}\]respectively. Find the average speed of the journey.

Answer:

\[Average\,\,speed=\frac{dis\tan ce}{total\,\,time}=\frac{{{s}_{1}}+{{s}_{2}}}{{{t}_{1}}+{{t}_{2}}}\] here\[{{t}_{1}}=\frac{{{S}_{1}}}{{{V}_{1}}}\]and\[{{t}_{2}}=\frac{{{S}_{2}}}{{{V}_{2}}}\] So, \[{{V}_{axg}}=\frac{{{s}_{1}}+{{s}_{2}}}{\frac{{{s}_{1}}}{{{V}_{1}}}+\frac{{{s}_{2}}}{{{V}_{2}}}}\]