First slide
Average Speed
Question

If a car covers 2/5th of the total distance with  v1 speed and 3/5th of the total distance with v2 then average speed is

Moderate
Solution

v_{avg} = \frac{{s_1 + s_2 }} {{t_1 + t_2 }};\;v_{avg} = \frac{{s_1 + s_2 }} {{\frac{{s_1 }} {{v_1 }} + \frac{{s_2 }} {{v_2 }}}}
v_{avg} = \frac{{\frac{{2s}} {5} + \frac{{3s}} {5}}} {{\frac{{2s}} {{5v_1 }} + \frac{{3s}} {{5v_2 }}}} = \frac{{5v_1 v_2 }} {{2v_2 + 3v_1 }}


 

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