If a body travels with speed v (1),v (2),v (3) for equal intervals of time ,find the average speed .
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av =3v/3
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Given :
- A body travelled with speeds v₁ , v₂ and v₃ for equal intervals of time
To Find :
- The average speed of the body
Solution :
Let the time interval be "t"
Since ,
Distance covered with speed v₁ in time t is v₁t
Distance covered with speed v₂ in time t is v₂t
Distance covered with speed v₁ in time t is v₃t
Total Time taken in these three intervals is t + t + t = 3t [given condition]
Now , Average speed of a body is nothing but the ratio between total distance travelled and total time taken.If the Mathematically ,
Now , Calculating Average speed of given body ;
Taking t common in numerator ,
Cancelling t on both numerator and denominator ,
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