question_answer

A particle is moving in a straight line. Its speed for three different intervals of time \[{{t}_{1}},{{t}_{2}}\]and \[{{t}_{3}}\]is \[{{v}_{1}},{{v}_{2}}\]and \[{{v}_{3}}\]respectively. Find the average speed.

Answer:

\[Average\,\,speed=\frac{total\,\,di\operatorname{tanance}\,\,travelled}{total\,\,time\,taken}\] \[=\frac{{{v}_{1}}{{t}_{1}}+{{v}_{2}}{{t}_{2}}+{{v}_{3}}{{t}_{3}}}{{{t}_{1}}+{{t}_{2}}+{{t}_{3}}}\]